{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to `darts`\n",
    "In this notebook, we will go over the main functionalities of the library: how to build and manipulate time series, train forecasting models, make predictions, evaluate metrics, backtest models and ensemble several models.\n",
    "\n",
    "As a toy example, we will use the well known [monthly airline passengers dataset](https://github.com/jbrownlee/Datasets/blob/master/monthly-airline-passengers.csv)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# fix python path if working locally\n",
    "from utils import fix_pythonpath_if_working_locally\n",
    "fix_pythonpath_if_working_locally()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true,
    "tags": []
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "\n",
    "import sys\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from datetime import datetime\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from darts import TimeSeries\n",
    "from darts.models import (\n",
    "    NaiveSeasonal,\n",
    "    NaiveDrift,\n",
    "    Prophet,\n",
    "    ExponentialSmoothing,\n",
    "    ARIMA,\n",
    "    AutoARIMA,\n",
    "    StandardRegressionModel,\n",
    "    Theta,\n",
    "    FFT\n",
    ")\n",
    "from darts.metrics import mape, mase\n",
    "from darts.utils.statistics import check_seasonality, plot_acf, plot_residuals_analysis\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import logging\n",
    "logging.disable(logging.CRITICAL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Read data and build a `TimeSeries`\n",
    "A `TimeSeries` simply represents a univariate or multivariate time series, with a proper time index. It is a wrapper around a `pandas.DataFrame`, and it can be built in a few different ways:\n",
    "* From an entire Pandas `DataFrame` directly\n",
    "* From a time index and an array of corresponding values\n",
    "* From a subset of Pandas `DataFrame` columns, indicating which are the time column and the values columns. This is what we will do here:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m99f3c79e08\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m99f3c79e08\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p92340b6244)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \nL 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p92340b6244\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "df = pd.read_csv('AirPassengers.csv', delimiter=\",\")\n",
    "series = TimeSeries.from_dataframe(df, 'Month', ['#Passengers'])\n",
    "\n",
    "series.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Creating a training and validation series\n",
    "First, let's split our `TimeSeries` into a training and a validation series. Note: in general, it is also a good practice to keep a test series aside and never touch it until the end of the process. Here, we just build a training and a test series for simplicity.\n",
    "\n",
    "The training series will be a `TimeSeries` containing values until January 1958 (excluded), and the validation series a `TimeSeries` containing the rest:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mbda9450f13\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mbda9450f13\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 86.290097 199.110453 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 128.432755 166.673808 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 219.741846 149.883075 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 245.495692 118.972861 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p76f4b7e2af)\" d=\"M 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_21\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_14\">\n     <!-- training -->\n     <defs>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"141.601562\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"169.384766\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"232.763672\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"260.546875\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"323.925781\" xlink:href=\"#DejaVuSans-103\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_15\">\n     <!-- validation -->\n     <defs>\n      <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"120.458984\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"148.242188\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"176.025391\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"239.501953\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"300.78125\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"339.990234\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"367.773438\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"428.955078\" xlink:href=\"#DejaVuSans-110\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p76f4b7e2af\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "train, val = series.split_before(pd.Timestamp('19580101'))\n",
    "train.plot(label='training')\n",
    "val.plot(label='validation')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Playing with toy models\n",
    "There is a collection of \"naive\" baseline models in `darts`, which can be very useful to get an idea of the bare minimum accuracy that one could expect. For example, the `NaiveSeasonal(K)` model always \"repeats\" the value that occured `K` time steps ago. \n",
    "\n",
    "In its most naive form, when `K=1`, this model simply always repeats the last value of the training series:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mf41d155723\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mf41d155723\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#pc045e784f1)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \nL 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#pc045e784f1)\" d=\"M 282.955832 126.223405 \nL 285.29709 126.223405 \nL 287.638349 126.223405 \nL 289.979608 126.223405 \nL 292.320867 126.223405 \nL 294.662125 126.223405 \nL 297.003384 126.223405 \nL 299.344643 126.223405 \nL 301.685901 126.223405 \nL 304.02716 126.223405 \nL 306.368419 126.223405 \nL 308.709678 126.223405 \nL 311.050936 126.223405 \nL 313.392195 126.223405 \nL 315.733454 126.223405 \nL 318.074713 126.223405 \nL 320.415971 126.223405 \nL 322.75723 126.223405 \nL 325.098489 126.223405 \nL 327.439748 126.223405 \nL 329.781006 126.223405 \nL 332.122265 126.223405 \nL 334.463524 126.223405 \nL 336.804783 126.223405 \nL 339.146041 126.223405 \nL 341.4873 126.223405 \nL 343.828559 126.223405 \nL 346.169818 126.223405 \nL 348.511076 126.223405 \nL 350.852335 126.223405 \nL 353.193594 126.223405 \nL 355.534853 126.223405 \nL 357.876111 126.223405 \nL 360.21737 126.223405 \nL 362.558629 126.223405 \nL 364.899888 126.223405 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_21\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_14\">\n     <!-- actual -->\n     <defs>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"116.259766\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"155.46875\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"218.847656\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"280.126953\" xlink:href=\"#DejaVuSans-108\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_15\">\n     <!-- naive forecast (K=1) -->\n     <defs>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 42.09375 \nL 52.390625 72.90625 \nL 65.09375 72.90625 \nL 28.90625 38.921875 \nL 67.671875 0 \nL 54.6875 0 \nL 19.671875 35.109375 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-75\"/>\n      <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"63.378906\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.658203\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"152.441406\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"211.621094\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"273.144531\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"304.931641\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"340.136719\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"401.318359\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"440.181641\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"501.705078\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"556.685547\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"617.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"670.064453\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"709.273438\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"741.060547\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"780.074219\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"845.650391\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"929.439453\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"993.0625\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pc045e784f1\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "naive_model = NaiveSeasonal(K=1)\n",
    "naive_model.fit(train)\n",
    "naive_forecast = naive_model.predict(36)\n",
    "\n",
    "series.plot(label='actual')\n",
    "naive_forecast.plot(label='naive forecast (K=1)')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's very easy to fit models and produce predictions on `TimeSeries`. All the models have a `fit()` and a `predict()` function. This is similar to [https://scikit-learn.org/](https://scikit-learn.org/), except that it is specific to time series. The `fit()` function takes in argument the training time series on which to fit the model, and the `predict()` function takes in argument the number of time steps (after the end of the training series) over which to forecast.\n",
    "\n",
    "### Inspect Seasonality\n",
    "Our model above is perhaps a bit too naive. We can already improve by exploiting the seasonality in the data. It seems quite obvious that the data has a yearly seasonality, which we can confirm by looking at the auto-correlation function (ACF), and highlighting the lag `m=12`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 720x360 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"301.261878pt\" version=\"1.1\" viewBox=\"0 0 599.627583 301.261878\" width=\"599.627583pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 301.261878 \nL 599.627583 301.261878 \nL 599.627583 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 34.427583 279 \nL 592.427583 279 \nL 592.427583 7.2 \nL 34.427583 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_1\">\n    <defs>\n     <path d=\"M 80.082128 -70.82364 \nL 80.082128 -94.260403 \nL 100.373037 -102.013625 \nL 120.663946 -106.636575 \nL 140.954856 -109.908385 \nL 161.245765 -112.384183 \nL 181.536674 -114.387912 \nL 201.827583 -116.075591 \nL 222.118492 -117.526059 \nL 242.409401 -118.861632 \nL 262.70031 -120.203808 \nL 282.991219 -121.589676 \nL 303.282128 -123.095272 \nL 323.573037 -124.616593 \nL 343.863946 -125.859338 \nL 364.154856 -126.811024 \nL 384.445765 -127.547155 \nL 404.736674 -128.110873 \nL 425.027583 -128.561146 \nL 445.318492 -128.926788 \nL 465.609401 -129.229135 \nL 485.90031 -129.50529 \nL 506.191219 -129.793485 \nL 526.482128 -130.106309 \nL 546.773037 -130.467619 \nL 546.773037 -34.616424 \nL 546.773037 -34.616424 \nL 526.482128 -34.977734 \nL 506.191219 -35.290558 \nL 485.90031 -35.578752 \nL 465.609401 -35.854907 \nL 445.318492 -36.157254 \nL 425.027583 -36.522896 \nL 404.736674 -36.973169 \nL 384.445765 -37.536887 \nL 364.154856 -38.273019 \nL 343.863946 -39.224705 \nL 323.573037 -40.467449 \nL 303.282128 -41.988771 \nL 282.991219 -43.494367 \nL 262.70031 -44.880235 \nL 242.409401 -46.22241 \nL 222.118492 -47.557984 \nL 201.827583 -49.008452 \nL 181.536674 -50.696131 \nL 161.245765 -52.69986 \nL 140.954856 -55.175658 \nL 120.663946 -58.447468 \nL 100.373037 -63.070418 \nL 80.082128 -70.82364 \nz\n\" id=\"m4e26fc40b0\" style=\"stroke:#003dfd;stroke-opacity:0.25;\"/>\n    </defs>\n    <g clip-path=\"url(#pbe249076d5)\">\n     <use style=\"fill:#003dfd;fill-opacity:0.25;stroke:#003dfd;stroke-opacity:0.25;\" x=\"0\" xlink:href=\"#m4e26fc40b0\" y=\"301.261878\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 59.791219 279 \nL 59.791219 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(57.141238 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 161.245765 279 \nL 161.245765 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 5 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(158.595783 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 262.70031 279 \nL 262.70031 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 10 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(257.400348 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 364.154856 279 \nL 364.154856 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 15 -->\n      <g style=\"fill:#333333;\" transform=\"translate(358.854893 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 465.609401 279 \nL 465.609401 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 20 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(460.309438 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 567.063946 279 \nL 567.063946 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 25 -->\n      <g style=\"fill:#333333;\" transform=\"translate(561.763984 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 258.552919 \nL 592.427583 258.552919 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m8dbca4c345\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"258.552919\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- −0.2 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 261.717668)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 218.719857 \nL 592.427583 218.719857 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"218.719857\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 221.884606)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 178.886795 \nL 592.427583 178.886795 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"178.886795\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.2 -->\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 182.051544)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 139.053732 \nL 592.427583 139.053732 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"139.053732\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 142.218481)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 99.22067 \nL 592.427583 99.22067 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"99.22067\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 102.385419)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 59.387608 \nL 592.427583 59.387608 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"59.387608\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 62.552357)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#pbe249076d5)\" d=\"M 34.427583 19.554545 \nL 592.427583 19.554545 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"34.427583\" xlink:href=\"#m8dbca4c345\" y=\"19.554545\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 1.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(14.18028 22.719295)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 59.791219 218.719857 \nL 59.791219 19.554545 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 80.082128 218.719857 \nL 80.082128 31.83257 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 100.373037 218.719857 \nL 100.373037 48.164529 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_24\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 120.663946 218.719857 \nL 120.663946 62.777582 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 140.954856 218.719857 \nL 140.954856 75.692519 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 161.245765 218.719857 \nL 161.245765 85.106145 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 181.536674 218.719857 \nL 181.536674 92.479954 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_28\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 201.827583 218.719857 \nL 201.827583 98.911721 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 222.118492 218.719857 \nL 222.118492 101.440703 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_30\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 242.409401 218.719857 \nL 242.409401 98.963941 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_31\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 262.70031 218.719857 \nL 262.70031 94.807006 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_32\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 282.991219 218.719857 \nL 282.991219 87.153657 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_33\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 303.282128 218.719857 \nL 303.282128 83.977316 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;\"/>\n   </g>\n   <g id=\"line2d_34\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 323.573037 218.719857 \nL 323.573037 94.917095 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_35\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 343.863946 218.719857 \nL 343.863946 108.997276 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_36\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 364.154856 218.719857 \nL 364.154856 121.294593 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_37\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 384.445765 218.719857 \nL 384.445765 132.845451 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_38\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 404.736674 218.719857 \nL 404.736674 141.542794 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_39\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 425.027583 218.719857 \nL 425.027583 148.863764 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_40\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 445.318492 218.719857 \nL 445.318492 154.96797 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_41\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 465.609401 218.719857 \nL 465.609401 157.602815 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_42\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 485.90031 218.719857 \nL 485.90031 156.096976 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_43\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 506.191219 218.719857 \nL 506.191219 153.268044 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_44\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 526.482128 218.719857 \nL 526.482128 148.128778 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_45\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 546.773037 218.719857 \nL 546.773037 146.404898 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_46\">\n    <path clip-path=\"url(#pbe249076d5)\" d=\"M 59.791219 218.719857 \nL 567.063946 218.719857 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pbe249076d5\">\n   <rect height=\"271.8\" width=\"558\" x=\"34.427583\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_acf(train, m = 12, alpha = .05)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The ACF presents a spike at x = 12, which suggests a yearly seasonality trend (highlighted in red). The blue zone determines the significance of the statistics for a confidence level of alpha = 5%. In cases where we are unsure, we can also run a statistical check of seasonality for each candidate period `m`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "There is seasonality of order 12.\n"
     ]
    }
   ],
   "source": [
    "for m in range(2, 25):\n",
    "    is_seasonal, period = check_seasonality(train, m=m, alpha=.05)\n",
    "    if is_seasonal:\n",
    "        print('There is seasonality of order {}.'.format(period))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A less naive model\n",
    "Let's try the `NaiveSeasonal` model again with a seasonality of 12:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"me99f3d08d0\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#me99f3d08d0\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p0c061a3a83)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \nL 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p0c061a3a83)\" d=\"M 282.955832 134.237164 \nL 285.29709 139.57967 \nL 287.638349 118.591253 \nL 289.979608 121.644114 \nL 292.320867 118.972861 \nL 294.662125 93.405153 \nL 297.003384 76.996027 \nL 299.344643 76.232812 \nL 301.685901 100.274089 \nL 304.02716 122.025721 \nL 306.368419 138.05324 \nL 308.709678 126.223405 \nL 311.050936 134.237164 \nL 313.392195 139.57967 \nL 315.733454 118.591253 \nL 318.074713 121.644114 \nL 320.415971 118.972861 \nL 322.75723 93.405153 \nL 325.098489 76.996027 \nL 327.439748 76.232812 \nL 329.781006 100.274089 \nL 332.122265 122.025721 \nL 334.463524 138.05324 \nL 336.804783 126.223405 \nL 339.146041 134.237164 \nL 341.4873 139.57967 \nL 343.828559 118.591253 \nL 346.169818 121.644114 \nL 348.511076 118.972861 \nL 350.852335 93.405153 \nL 353.193594 76.996027 \nL 355.534853 76.232812 \nL 357.876111 100.274089 \nL 360.21737 122.025721 \nL 362.558629 138.05324 \nL 364.899888 126.223405 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_21\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_14\">\n     <!-- actual -->\n     <defs>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"116.259766\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"155.46875\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"218.847656\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"280.126953\" xlink:href=\"#DejaVuSans-108\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_15\">\n     <!-- naive forecast (K=12) -->\n     <defs>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 42.09375 \nL 52.390625 72.90625 \nL 65.09375 72.90625 \nL 28.90625 38.921875 \nL 67.671875 0 \nL 54.6875 0 \nL 19.671875 35.109375 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-75\"/>\n      <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"63.378906\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.658203\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"152.441406\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"211.621094\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"273.144531\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"304.931641\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"340.136719\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"401.318359\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"440.181641\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"501.705078\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"556.685547\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"617.964844\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"670.064453\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"709.273438\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"741.060547\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"780.074219\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"845.650391\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"929.439453\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"993.0625\" xlink:href=\"#DejaVuSans-50\"/>\n      <use x=\"1056.685547\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p0c061a3a83\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "seasonal_model = NaiveSeasonal(K=12)\n",
    "seasonal_model.fit(train)\n",
    "seasonal_forecast = seasonal_model.predict(36)\n",
    "\n",
    "series.plot(label='actual')\n",
    "seasonal_forecast.plot(label='naive forecast (K=12)')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is better, but we are still missing the trend. Fortunately, there is also another naive baseline model capturing the trend, which is called `NaiveDrift`. This model will simply produce linear predictions, with a slope that is determined by the first and last values of the training set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m1a89ce7bd4\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m1a89ce7bd4\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \nL 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 282.955832 133.438284 \nL 285.29709 137.981911 \nL 287.638349 116.194615 \nL 289.979608 118.448596 \nL 292.320867 114.978464 \nL 294.662125 88.611876 \nL 297.003384 71.403871 \nL 299.344643 69.841776 \nL 301.685901 93.084174 \nL 304.02716 114.036927 \nL 306.368419 129.265566 \nL 308.709678 116.636852 \nL 311.050936 123.851731 \nL 313.392195 128.395358 \nL 315.733454 106.608062 \nL 318.074713 108.862043 \nL 320.415971 105.39191 \nL 322.75723 79.025323 \nL 325.098489 61.817318 \nL 327.439748 60.255223 \nL 329.781006 83.497621 \nL 332.122265 104.450374 \nL 334.463524 119.679013 \nL 336.804783 107.050299 \nL 339.146041 114.265178 \nL 341.4873 118.808805 \nL 343.828559 97.021509 \nL 346.169818 99.27549 \nL 348.511076 95.805357 \nL 350.852335 69.43877 \nL 353.193594 52.230765 \nL 355.534853 50.66867 \nL 357.876111 73.911068 \nL 360.21737 94.863821 \nL 362.558629 110.09246 \nL 364.899888 97.463745 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p18cb3d4c7b)\" d=\"M 282.955832 125.424525 \nL 285.29709 124.625646 \nL 287.638349 123.826766 \nL 289.979608 123.027887 \nL 292.320867 122.229008 \nL 294.662125 121.430128 \nL 297.003384 120.631249 \nL 299.344643 119.832369 \nL 301.685901 119.03349 \nL 304.02716 118.23461 \nL 306.368419 117.435731 \nL 308.709678 116.636852 \nL 311.050936 115.837972 \nL 313.392195 115.039093 \nL 315.733454 114.240213 \nL 318.074713 113.441334 \nL 320.415971 112.642455 \nL 322.75723 111.843575 \nL 325.098489 111.044696 \nL 327.439748 110.245816 \nL 329.781006 109.446937 \nL 332.122265 108.648057 \nL 334.463524 107.849178 \nL 336.804783 107.050299 \nL 339.146041 106.251419 \nL 341.4873 105.45254 \nL 343.828559 104.65366 \nL 346.169818 103.854781 \nL 348.511076 103.055901 \nL 350.852335 102.257022 \nL 353.193594 101.458143 \nL 355.534853 100.659263 \nL 357.876111 99.860384 \nL 360.21737 99.061504 \nL 362.558629 98.262625 \nL 364.899888 97.463745 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_22\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_23\"/>\n    <g id=\"text_14\">\n     <!-- #Passengers -->\n     <defs>\n      <path d=\"M 51.125 44 \nL 36.921875 44 \nL 32.8125 27.6875 \nL 47.125 27.6875 \nz\nM 43.796875 71.78125 \nL 38.71875 51.515625 \nL 52.984375 51.515625 \nL 58.109375 71.78125 \nL 65.921875 71.78125 \nL 60.890625 51.515625 \nL 76.125 51.515625 \nL 76.125 44 \nL 58.984375 44 \nL 54.984375 27.6875 \nL 70.515625 27.6875 \nL 70.515625 20.21875 \nL 53.078125 20.21875 \nL 48 0 \nL 40.1875 0 \nL 45.21875 20.21875 \nL 30.90625 20.21875 \nL 25.875 0 \nL 18.015625 0 \nL 23.09375 20.21875 \nL 7.71875 20.21875 \nL 7.71875 27.6875 \nL 24.90625 27.6875 \nL 29 44 \nL 13.28125 44 \nL 13.28125 51.515625 \nL 30.90625 51.515625 \nL 35.890625 71.78125 \nz\n\" id=\"DejaVuSans-35\"/>\n      <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-35\"/>\n      <use x=\"83.789062\" xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"139.591797\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"200.871094\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"252.970703\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"305.070312\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"366.59375\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"429.972656\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"493.449219\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"554.972656\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"596.085938\" xlink:href=\"#DejaVuSans-115\"/>\n     </g>\n    </g>\n    <g id=\"line2d_24\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_25\"/>\n    <g id=\"text_15\">\n     <!-- combined -->\n     <defs>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"54.980469\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"116.162109\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"213.574219\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"277.050781\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"304.833984\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"368.212891\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"429.736328\" xlink:href=\"#DejaVuSans-100\"/>\n     </g>\n    </g>\n    <g id=\"line2d_26\">\n     <path d=\"M 39.099888 49.654687 \nL 59.099888 49.654687 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_27\"/>\n    <g id=\"text_16\">\n     <!-- drift -->\n     <defs>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     </defs>\n     <g transform=\"translate(67.099887 53.154687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"104.589844\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"132.373047\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"165.828125\" xlink:href=\"#DejaVuSans-116\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p18cb3d4c7b\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "drift_model = NaiveDrift()\n",
    "drift_model.fit(train)\n",
    "drift_forecast = drift_model.predict(36)\n",
    "\n",
    "combined_forecast = drift_forecast + seasonal_forecast - train.last_value()\n",
    "\n",
    "series.plot()\n",
    "combined_forecast.plot(label='combined')\n",
    "drift_forecast.plot(label='drift')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What happened in the last cell? We simply fit a naive drift model, and add its forecast to the seasonal forecast we had previously. We also substract the last value of the training set to the result, so that the resulting combined forecast starts off with the right offset.\n",
    "\n",
    "This looks already like a fairly descent forecast, and we did not use any non-naive model yet! In fact - any model should be able to beat this. But hey, what's the error we are getting here? Let's see what we'll have to beat:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Mean absolute percentage error for the combined naive drift + seasonal: 5.66%.\n"
     ]
    }
   ],
   "source": [
    "print(\"Mean absolute percentage error for the combined naive drift + seasonal: {:.2f}%.\".format(\n",
    "      mape(series, combined_forecast)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quickly try a few more models\n",
    "`darts` is built to make it easy to train and validate several models in a unified way. Let's train a few more and compute their respective MAPE on the validation set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": false,
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "model Exponential smoothing obtains MAPE: 6.50%\n",
      "model Prophet obtains MAPE: 9.72%\n",
      "model Auto-ARIMA obtains MAPE: 12.56%\n",
      "model Theta(2) obtains MAPE: 8.15%\n"
     ]
    }
   ],
   "source": [
    "def eval_model(model):\n",
    "    model.fit(train)\n",
    "    forecast = model.predict(len(val))\n",
    "    print('model {} obtains MAPE: {:.2f}%'.format(model, mape(val, forecast)))\n",
    "\n",
    "eval_model(ExponentialSmoothing())\n",
    "eval_model(Prophet())\n",
    "eval_model(AutoARIMA())\n",
    "eval_model(Theta())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we did only built these models with their default parameters. We can probably do better if we fine-tune to our problem. Let's try with the Theta method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Theta method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The model `Theta` contains an implementation of Assimakopoulos and Nikolopoulos' Theta method. This method has known great success, particularly in the M3-competition.\n",
    "\n",
    "Though the value of the Theta parameter is often set to 0 in applications, our implementation supports a variable value for parameter tuning purposes. Let's try to find a good value for Theta:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Search for the best theta parameter, by trying 50 different values\n",
    "thetas = 2 - np.linspace(-10, 10, 50)\n",
    "\n",
    "best_mape = float('inf')\n",
    "best_theta = 0\n",
    "\n",
    "for theta in thetas:\n",
    "    model = Theta(theta)\n",
    "    model.fit(train)\n",
    "    pred_theta = model.predict(len(val))\n",
    "    res = mape(val, pred_theta)\n",
    "    \n",
    "    if res < best_mape:\n",
    "        best_mape = res\n",
    "        best_theta = theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "The MAPE is: 4.40, with theta = -3.5102040816326543.\n"
     ]
    }
   ],
   "source": [
    "best_theta_model = Theta(best_theta)\n",
    "best_theta_model.fit(train)\n",
    "pred_best_theta = best_theta_model.predict(len(val))\n",
    "\n",
    "print('The MAPE is: {:.2f}, with theta = {}.'.format(mape(val, pred_best_theta), best_theta))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.580003pt\" version=\"1.1\" viewBox=\"0 0 372.099887 260.580003\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.580003 \nL 372.099887 260.580003 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 224.64 \nL 364.899888 224.64 \nL 364.899888 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 224.64 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 86.290097 224.64 \nL 86.290097 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 142.480307 224.64 \nL 142.480307 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 198.670517 224.64 \nL 198.670517 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 254.860727 224.64 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 311.050936 224.64 \nL 311.050936 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 237.969498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 251.300316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 216.282794 \nL 364.899888 216.282794 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m6ece3f48f8\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"216.282794\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 219.447543)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 178.122036 \nL 364.899888 178.122036 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"178.122036\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 181.286785)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 139.961278 \nL 364.899888 139.961278 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"139.961278\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 143.126027)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 101.800519 \nL 364.899888 101.800519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"101.800519\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 104.965269)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 63.639761 \nL 364.899888 63.639761 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"63.639761\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 66.804511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 25.479003 \nL 364.899888 25.479003 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6ece3f48f8\" y=\"25.479003\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 28.643752)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p331cdfa69a)\" d=\"M 30.099888 211.703503 \nL 32.441146 209.413857 \nL 34.782405 204.071351 \nL 37.123664 205.216174 \nL 39.464922 208.269035 \nL 41.806181 202.926529 \nL 44.14744 197.96563 \nL 46.488699 197.96563 \nL 48.829957 202.544921 \nL 51.171216 209.03225 \nL 53.512475 214.756364 \nL 55.853734 209.413857 \nL 58.194992 210.55868 \nL 60.536251 206.360997 \nL 62.87751 200.636883 \nL 65.218769 202.926529 \nL 67.560027 206.742604 \nL 69.901286 197.584022 \nL 72.242545 189.570263 \nL 74.583804 189.570263 \nL 76.925062 194.149554 \nL 79.266321 203.689744 \nL 81.60758 210.940288 \nL 83.948839 201.018491 \nL 86.290097 199.110453 \nL 88.631356 197.202415 \nL 90.972615 186.517403 \nL 93.313874 192.241516 \nL 95.655132 188.807048 \nL 97.996391 186.517403 \nL 100.33765 178.503643 \nL 102.678908 178.503643 \nL 105.020167 184.227757 \nL 107.361426 192.623124 \nL 109.702685 198.728845 \nL 112.043943 191.096694 \nL 114.385202 189.188656 \nL 116.726461 185.754187 \nL 119.06772 180.793289 \nL 121.408978 185.37258 \nL 123.750237 184.609365 \nL 126.091496 171.253099 \nL 128.432755 166.673808 \nL 130.774013 162.094517 \nL 133.115272 174.687568 \nL 135.456531 181.556504 \nL 137.79779 188.807048 \nL 140.139048 180.411681 \nL 142.480307 179.648466 \nL 144.821566 179.648466 \nL 147.162825 164.384163 \nL 149.504083 164.76577 \nL 151.845342 167.055416 \nL 154.186601 161.71291 \nL 156.52786 153.699151 \nL 158.869118 150.64629 \nL 161.210377 164.002555 \nL 163.551636 173.924352 \nL 165.892894 185.754187 \nL 168.234153 177.740428 \nL 170.575412 176.595605 \nL 172.916671 182.701327 \nL 175.257929 164.76577 \nL 177.599188 167.818631 \nL 179.940447 165.147378 \nL 182.281706 153.699151 \nL 184.622964 139.198062 \nL 186.964223 142.632531 \nL 189.305482 155.607188 \nL 191.646741 167.055416 \nL 193.987999 176.977213 \nL 196.329258 167.055416 \nL 198.670517 162.094517 \nL 201.011776 165.528986 \nL 203.353034 152.554328 \nL 205.694293 151.791113 \nL 208.035552 151.409505 \nL 210.376811 134.237164 \nL 212.718069 115.538392 \nL 215.059328 122.025721 \nL 217.400587 135.381987 \nL 219.741846 149.883075 \nL 222.083104 164.002555 \nL 224.424363 148.356644 \nL 226.765622 146.066999 \nL 229.106881 148.738252 \nL 231.448139 133.473949 \nL 233.789398 135.000379 \nL 236.130657 133.092341 \nL 238.471915 111.722317 \nL 240.813174 96.839621 \nL 243.154433 99.892482 \nL 245.495692 118.972861 \nL 247.83695 137.671632 \nL 250.178209 151.027898 \nL 252.519468 137.671632 \nL 254.860727 134.237164 \nL 257.201985 139.57967 \nL 259.543244 118.591253 \nL 261.884503 121.644114 \nL 264.225762 118.972861 \nL 266.56702 93.405153 \nL 268.908279 76.996027 \nL 271.249538 76.232812 \nL 273.590797 100.274089 \nL 275.932055 122.025721 \nL 278.273314 138.05324 \nL 280.614573 126.223405 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p331cdfa69a)\" d=\"M 282.955832 124.696974 \nL 285.29709 133.092341 \nL 287.638349 116.301608 \nL 289.979608 121.644114 \nL 292.320867 115.92 \nL 294.662125 88.444254 \nL 297.003384 67.07423 \nL 299.344643 61.731723 \nL 301.685901 100.274089 \nL 304.02716 117.44643 \nL 306.368419 136.145202 \nL 308.709678 125.841797 \nL 311.050936 117.064823 \nL 313.392195 123.933759 \nL 315.733454 99.510874 \nL 318.074713 103.32695 \nL 320.415971 94.168368 \nL 322.75723 74.324774 \nL 325.098489 45.322597 \nL 327.439748 41.124914 \nL 329.781006 77.759242 \nL 332.122265 99.129266 \nL 334.463524 116.301608 \nL 336.804783 99.892482 \nL 339.146041 95.313191 \nL 341.4873 105.234988 \nL 343.828559 94.549975 \nL 346.169818 78.522457 \nL 348.511076 74.324774 \nL 350.852335 50.283496 \nL 353.193594 17.083636 \nL 355.534853 23.189358 \nL 357.876111 60.586901 \nL 360.21737 78.522457 \nL 362.558629 105.616595 \nL 364.899888 89.589077 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p331cdfa69a)\" d=\"M 282.955832 122.784148 \nL 285.29709 122.729625 \nL 287.638349 102.840595 \nL 289.979608 107.965204 \nL 292.320867 108.677733 \nL 294.662125 88.799473 \nL 297.003384 70.987709 \nL 299.344643 71.569783 \nL 301.685901 91.619116 \nL 304.02716 112.183967 \nL 306.368419 129.863064 \nL 308.709678 112.842245 \nL 311.050936 109.392842 \nL 313.392195 109.445371 \nL 315.733454 87.677834 \nL 318.074713 93.436083 \nL 320.415971 94.337818 \nL 322.75723 72.636512 \nL 325.098489 53.231124 \nL 327.439748 54.011161 \nL 329.781006 76.109626 \nL 332.122265 98.740051 \nL 334.463524 118.181863 \nL 336.804783 99.668038 \nL 339.146041 96.001536 \nL 341.4873 96.161117 \nL 343.828559 72.515073 \nL 346.169818 78.906962 \nL 348.511076 79.997903 \nL 350.852335 56.47355 \nL 353.193594 35.47454 \nL 355.534853 36.452538 \nL 357.876111 60.600135 \nL 360.21737 85.296135 \nL 362.558629 106.500661 \nL 364.899888 86.493831 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_22\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_23\"/>\n    <g id=\"text_14\">\n     <!-- train -->\n     <defs>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"141.601562\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"169.384766\" xlink:href=\"#DejaVuSans-110\"/>\n     </g>\n    </g>\n    <g id=\"line2d_24\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_25\"/>\n    <g id=\"text_15\">\n     <!-- true -->\n     <defs>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"143.701172\" xlink:href=\"#DejaVuSans-101\"/>\n     </g>\n    </g>\n    <g id=\"line2d_26\">\n     <path d=\"M 39.099888 49.654687 \nL 59.099888 49.654687 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_27\"/>\n    <g id=\"text_16\">\n     <!-- prediction -->\n     <defs>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     </defs>\n     <g transform=\"translate(67.099887 53.154687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"102.339844\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"163.863281\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"227.339844\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"255.123047\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"310.103516\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"349.3125\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"377.095703\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"438.277344\" xlink:href=\"#DejaVuSans-110\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p331cdfa69a\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "train.plot(label='train')\n",
    "val.plot(label='true')\n",
    "pred_best_theta.plot(label='prediction')\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can observe that the model with `best_theta` is so far the best we have, in terms of MAPE."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Backtesting: simulate historical forecasting\n",
    "So at this point we have a model that performs well on our validation set, and that's good. But how can we know the performance we *would have obtained* if we *had been using this model* historically. \n",
    "\n",
    "Backtesting simulates predictions that would have been obtained historically with a given model. It can take a while to produce, since the model is re-fit every time the simulated prediction time advances.\n",
    "\n",
    "Such simulated forecasts are always defined with respect to a *forecast horizon*, which is the number of time steps that separate the prediction time from the forecast time. In the example below, we simulate forecasts done for 3 months in the future (compared to prediction time).\n",
    "\n",
    "Using the `backtest()` method, you can either look at the performance of the model evaluated over the whole forecasts it produces (each point in each forecast is used to compute an error score) or only the last point of each historical forecast.\n",
    "In the latter case, you can get a time series representation of those points by calling `historical_forecasts()` with the default setting (`last_points_only=True`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=69.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "1463a044af2d416595281c7bfaa92f1d"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=69.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "da0750f72b2c4dd8a5d5e3c0fb8432a0"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n",
      "Average error (MAPE) over all historical forecasts: 6.194975084052747\n",
      "Median error (MAPE) over all historical forecasts: 4.2892317587628455\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=69.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "f2c63003f7bb414fb116f761ac6521c7"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.020003pt\" version=\"1.1\" viewBox=\"0 0 366.799925 262.020003\" width=\"366.799925pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 262.020003 \nL 366.799925 262.020003 \nL 366.799925 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 24.799925 239.758125 \nL 359.599925 239.758125 \nL 359.599925 22.318125 \nL 24.799925 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 40.018107 239.758125 \nL 55.236289 239.758125 \nL 55.236289 205.243839 \nL 40.018107 205.243839 \nz\n\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 55.236289 239.758125 \nL 70.45447 239.758125 \nL 70.45447 118.958125 \nL 55.236289 118.958125 \nz\n\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 70.45447 239.758125 \nL 85.672652 239.758125 \nL 85.672652 32.672411 \nL 70.45447 32.672411 \nz\n\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 85.672652 239.758125 \nL 100.890834 239.758125 \nL 100.890834 49.929554 \nL 85.672652 49.929554 \nz\n\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 100.890834 239.758125 \nL 116.109016 239.758125 \nL 116.109016 136.215268 \nL 100.890834 136.215268 \nz\n\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 116.109016 239.758125 \nL 131.327198 239.758125 \nL 131.327198 170.729554 \nL 116.109016 170.729554 \nz\n\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 131.327198 239.758125 \nL 146.54538 239.758125 \nL 146.54538 101.700982 \nL 131.327198 101.700982 \nz\n\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 146.54538 239.758125 \nL 161.763561 239.758125 \nL 161.763561 205.243839 \nL 146.54538 205.243839 \nz\n\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 161.763561 239.758125 \nL 176.981743 239.758125 \nL 176.981743 222.500982 \nL 161.763561 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 176.981743 239.758125 \nL 192.199925 239.758125 \nL 192.199925 222.500982 \nL 176.981743 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 192.199925 239.758125 \nL 207.418107 239.758125 \nL 207.418107 205.243839 \nL 192.199925 205.243839 \nz\n\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 207.418107 239.758125 \nL 222.636289 239.758125 \nL 222.636289 205.243839 \nL 207.418107 205.243839 \nz\n\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 222.636289 239.758125 \nL 237.85447 239.758125 \nL 237.85447 170.729554 \nL 222.636289 170.729554 \nz\n\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 237.85447 239.758125 \nL 253.072652 239.758125 \nL 253.072652 222.500982 \nL 237.85447 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_17\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 253.072652 239.758125 \nL 268.290834 239.758125 \nL 268.290834 222.500982 \nL 253.072652 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 268.290834 239.758125 \nL 283.509016 239.758125 \nL 283.509016 239.758125 \nL 268.290834 239.758125 \nz\n\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 283.509016 239.758125 \nL 298.727198 239.758125 \nL 298.727198 239.758125 \nL 283.509016 239.758125 \nz\n\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 298.727198 239.758125 \nL 313.94538 239.758125 \nL 313.94538 222.500982 \nL 298.727198 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 313.94538 239.758125 \nL 329.163561 239.758125 \nL 329.163561 222.500982 \nL 313.94538 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#p343550d23c)\" d=\"M 329.163561 239.758125 \nL 344.381743 239.758125 \nL 344.381743 222.500982 \nL 329.163561 222.500982 \nz\n\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 40.018107 239.758125 \nL 40.018107 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0.0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(33.394455 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 78.063561 239.758125 \nL 78.063561 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 2.5 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(71.43991 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 116.109016 239.758125 \nL 116.109016 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 5.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(109.485364 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 154.15447 239.758125 \nL 154.15447 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 7.5 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(147.530819 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 192.199925 239.758125 \nL 192.199925 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 10.0 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(182.926292 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 230.24538 239.758125 \nL 230.24538 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 12.5 -->\n      <g style=\"fill:#333333;\" transform=\"translate(220.971747 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 268.290834 239.758125 \nL 268.290834 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_7\">\n      <!-- 15.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(259.017201 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 306.336289 239.758125 \nL 306.336289 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_8\">\n      <!-- 17.5 -->\n      <g style=\"fill:#333333;\" transform=\"translate(297.062656 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 344.381743 239.758125 \nL 344.381743 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_9\">\n      <!-- 20.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(335.10811 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_10\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 239.758125 \nL 359.599925 239.758125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_11\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m088e5100c1\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"239.758125\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(12.499962 242.922874)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_12\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 205.243839 \nL 359.599925 205.243839 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"205.243839\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 2 -->\n      <g style=\"fill:#333333;\" transform=\"translate(12.499962 208.408589)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_14\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 170.729554 \nL 359.599925 170.729554 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"170.729554\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 4 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(12.499962 173.894303)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_16\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 136.215268 \nL 359.599925 136.215268 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_17\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"136.215268\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 6 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(12.499962 139.380017)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_18\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 101.700982 \nL 359.599925 101.700982 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_19\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"101.700982\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 8 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(12.499962 104.865731)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_20\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 67.186696 \nL 359.599925 67.186696 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_21\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"67.186696\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 70.351446)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_22\">\n      <path clip-path=\"url(#p343550d23c)\" d=\"M 24.799925 32.672411 \nL 359.599925 32.672411 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_23\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"24.799925\" xlink:href=\"#m088e5100c1\" y=\"32.672411\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 12 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 35.83716)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"text_17\">\n    <!-- Individual error scores (histogram) -->\n    <defs>\n     <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-73\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n     <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n     <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n     <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n     <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n    </defs>\n    <g transform=\"translate(88.392425 16.318125)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-73\"/>\n     <use x=\"29.492188\" xlink:href=\"#DejaVuSans-110\"/>\n     <use x=\"92.871094\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"156.347656\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"184.130859\" xlink:href=\"#DejaVuSans-118\"/>\n     <use x=\"243.310547\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"271.09375\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"334.570312\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"397.949219\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"459.228516\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"487.011719\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"518.798828\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"580.322266\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"619.685547\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"658.548828\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"719.730469\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"760.84375\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"792.630859\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"844.730469\" xlink:href=\"#DejaVuSans-99\"/>\n     <use x=\"899.710938\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"960.892578\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"999.755859\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"1061.279297\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"1113.378906\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"1145.166016\" xlink:href=\"#DejaVuSans-40\"/>\n     <use x=\"1184.179688\" xlink:href=\"#DejaVuSans-104\"/>\n     <use x=\"1247.558594\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"1275.341797\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"1327.441406\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"1366.650391\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"1427.832031\" xlink:href=\"#DejaVuSans-103\"/>\n     <use x=\"1491.308594\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"1532.421875\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"1593.701172\" xlink:href=\"#DejaVuSans-109\"/>\n     <use x=\"1691.113281\" xlink:href=\"#DejaVuSans-41\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p343550d23c\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"24.799925\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=69.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "116a71b79758458bb4e6cb19c10c3b12"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "best_theta_model = Theta(best_theta)\n",
    "\n",
    "average_error = best_theta_model.backtest(series, start=pd.Timestamp('19550101'), forecast_horizon=3, verbose=True)\n",
    "median_error = best_theta_model.backtest(series, start=pd.Timestamp('19550101'), forecast_horizon=3, reduction=np.median, verbose=True)\n",
    "print(\"Average error (MAPE) over all historical forecasts: {}\".format(average_error))\n",
    "print(\"Median error (MAPE) over all historical forecasts: {}\".format(median_error))\n",
    "\n",
    "raw_errors = best_theta_model.backtest(series, start=pd.Timestamp('19550101'), forecast_horizon=3, reduction=None, verbose=True)\n",
    "plt.hist(raw_errors, bins=np.arange(0, max(raw_errors), 1))\n",
    "plt.title(\"Individual error scores (histogram)\")\n",
    "plt.show()\n",
    "\n",
    "historical_fcast_theta = best_theta_model.historical_forecasts(series, start=pd.Timestamp('19550101'), forecast_horizon=3, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see what this backtest forecast looks like. You can see it produces more accurate predictions at a 3 months horizon than the one-off prediction done above, because here the model is re-fit every month."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"275.698128pt\" version=\"1.1\" viewBox=\"0 0 372.099887 275.698128\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 275.698128 \nL 372.099887 275.698128 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 239.758125 \nL 364.899888 239.758125 \nL 364.899888 22.318125 \nL 30.099888 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 239.758125 \nL 30.099888 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 86.290097 239.758125 \nL 86.290097 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 142.480307 239.758125 \nL 142.480307 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 198.670517 239.758125 \nL 198.670517 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 254.860727 239.758125 \nL 254.860727 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 311.050936 239.758125 \nL 311.050936 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 266.418441)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 231.400919 \nL 364.899888 231.400919 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m6bbdb1b659\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"231.400919\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 234.565668)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 193.240161 \nL 364.899888 193.240161 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"193.240161\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 196.40491)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 155.079403 \nL 364.899888 155.079403 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"155.079403\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 158.244152)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 116.918644 \nL 364.899888 116.918644 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"116.918644\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 120.083394)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 78.757886 \nL 364.899888 78.757886 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"78.757886\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 81.922636)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 40.597128 \nL 364.899888 40.597128 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m6bbdb1b659\" y=\"40.597128\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 43.761877)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 30.099888 226.821628 \nL 32.441146 224.531982 \nL 34.782405 219.189476 \nL 37.123664 220.334299 \nL 39.464922 223.38716 \nL 41.806181 218.044654 \nL 44.14744 213.083755 \nL 46.488699 213.083755 \nL 48.829957 217.663046 \nL 51.171216 224.150375 \nL 53.512475 229.874489 \nL 55.853734 224.531982 \nL 58.194992 225.676805 \nL 60.536251 221.479122 \nL 62.87751 215.755008 \nL 65.218769 218.044654 \nL 67.560027 221.860729 \nL 69.901286 212.702147 \nL 72.242545 204.688388 \nL 74.583804 204.688388 \nL 76.925062 209.267679 \nL 79.266321 218.807869 \nL 81.60758 226.058413 \nL 83.948839 216.136616 \nL 88.631356 212.32054 \nL 90.972615 201.635528 \nL 93.313874 207.359641 \nL 95.655132 203.925173 \nL 97.996391 201.635528 \nL 100.33765 193.621768 \nL 102.678908 193.621768 \nL 105.020167 199.345882 \nL 107.361426 207.741249 \nL 109.702685 213.84697 \nL 112.043943 206.214819 \nL 114.385202 204.306781 \nL 116.726461 200.872312 \nL 119.06772 195.911414 \nL 121.408978 200.490705 \nL 123.750237 199.72749 \nL 126.091496 186.371224 \nL 130.774013 177.212642 \nL 133.115272 189.805693 \nL 135.456531 196.674629 \nL 137.79779 203.925173 \nL 140.139048 195.529806 \nL 142.480307 194.766591 \nL 144.821566 194.766591 \nL 147.162825 179.502288 \nL 149.504083 179.883895 \nL 151.845342 182.173541 \nL 154.186601 176.831035 \nL 156.52786 168.817276 \nL 158.869118 165.764415 \nL 161.210377 179.12068 \nL 163.551636 189.042477 \nL 165.892894 200.872312 \nL 168.234153 192.858553 \nL 170.575412 191.71373 \nL 172.916671 197.819452 \nL 175.257929 179.883895 \nL 177.599188 182.936756 \nL 179.940447 180.265503 \nL 182.281706 168.817276 \nL 184.622964 154.316187 \nL 186.964223 157.750656 \nL 189.305482 170.725313 \nL 191.646741 182.173541 \nL 193.987999 192.095338 \nL 196.329258 182.173541 \nL 198.670517 177.212642 \nL 201.011776 180.647111 \nL 203.353034 167.672453 \nL 205.694293 166.909238 \nL 208.035552 166.52763 \nL 210.376811 149.355289 \nL 212.718069 130.656517 \nL 215.059328 137.143846 \nL 217.400587 150.500112 \nL 222.083104 179.12068 \nL 224.424363 163.474769 \nL 226.765622 161.185124 \nL 229.106881 163.856377 \nL 231.448139 148.592074 \nL 233.789398 150.118504 \nL 236.130657 148.210466 \nL 238.471915 126.840442 \nL 240.813174 111.957746 \nL 243.154433 115.010607 \nL 247.83695 152.789757 \nL 250.178209 166.146023 \nL 252.519468 152.789757 \nL 254.860727 149.355289 \nL 257.201985 154.697795 \nL 259.543244 133.709378 \nL 261.884503 136.762239 \nL 264.225762 134.090986 \nL 266.56702 108.523278 \nL 268.908279 92.114152 \nL 271.249538 91.350937 \nL 273.590797 115.392214 \nL 275.932055 137.143846 \nL 278.273314 153.171365 \nL 280.614573 141.34153 \nL 282.955832 139.815099 \nL 285.29709 148.210466 \nL 287.638349 131.419733 \nL 289.979608 136.762239 \nL 292.320867 131.038125 \nL 294.662125 103.562379 \nL 297.003384 82.192355 \nL 299.344643 76.849848 \nL 301.685901 115.392214 \nL 304.02716 132.564555 \nL 306.368419 151.263327 \nL 308.709678 140.959922 \nL 311.050936 132.182948 \nL 313.392195 139.051884 \nL 315.733454 114.628999 \nL 318.074713 118.445075 \nL 320.415971 109.286493 \nL 322.75723 89.442899 \nL 325.098489 60.440722 \nL 327.439748 56.243039 \nL 329.781006 92.877367 \nL 332.122265 114.247391 \nL 334.463524 131.419733 \nL 336.804783 115.010607 \nL 339.146041 110.431316 \nL 341.4873 120.353113 \nL 343.828559 109.6681 \nL 346.169818 93.640582 \nL 348.511076 89.442899 \nL 350.852335 65.401621 \nL 353.193594 32.201761 \nL 355.534853 38.307483 \nL 357.876111 75.705026 \nL 360.21737 93.640582 \nL 362.558629 120.73472 \nL 364.899888 104.707202 \nL 364.899888 104.707202 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p9f7bfc2ec4)\" d=\"M 203.353034 165.317395 \nL 205.694293 167.051156 \nL 208.035552 171.710608 \nL 210.376811 161.198826 \nL 212.718069 163.322709 \nL 215.059328 142.606194 \nL 217.400587 154.867714 \nL 219.741846 136.053955 \nL 222.083104 177.936753 \nL 224.424363 165.156751 \nL 226.765622 162.95316 \nL 229.106881 162.575108 \nL 231.448139 144.086624 \nL 233.789398 148.237819 \nL 236.130657 152.651113 \nL 238.471915 139.044168 \nL 240.813174 122.095855 \nL 243.154433 149.188676 \nL 245.495692 133.591381 \nL 247.83695 121.822815 \nL 250.178209 163.12207 \nL 252.519468 150.018458 \nL 254.860727 149.590971 \nL 257.201985 147.71435 \nL 259.543244 131.006545 \nL 261.884503 134.975234 \nL 264.225762 141.37228 \nL 266.56702 121.953496 \nL 268.908279 104.038224 \nL 271.249538 137.202435 \nL 273.590797 120.864964 \nL 275.932055 97.266954 \nL 278.273314 148.362195 \nL 280.614573 134.767101 \nL 282.955832 134.374034 \nL 285.29709 133.974382 \nL 287.638349 117.95872 \nL 289.979608 124.31587 \nL 292.320867 133.042058 \nL 294.662125 116.309243 \nL 297.003384 100.736569 \nL 299.344643 94.628017 \nL 301.685901 109.251944 \nL 304.02716 82.687988 \nL 306.368419 139.079771 \nL 308.709678 134.305004 \nL 311.050936 130.320697 \nL 313.392195 133.015061 \nL 315.733454 118.670851 \nL 318.074713 118.46105 \nL 320.415971 123.681512 \nL 322.75723 99.013857 \nL 325.098489 78.345215 \nL 327.439748 68.507597 \nL 329.781006 92.747961 \nL 332.122265 58.998936 \nL 334.463524 127.600973 \nL 336.804783 116.341502 \nL 339.146041 112.695858 \nL 341.4873 112.154383 \nL 343.828559 89.567286 \nL 346.169818 94.80606 \nL 348.511076 101.383477 \nL 350.852335 89.655783 \nL 353.193594 49.295525 \nL 355.534853 41.850629 \nL 357.876111 65.276904 \nL 360.21737 37.600919 \nL 362.558629 114.549695 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- MAPE = 7.61% -->\n    <defs>\n     <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n     <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n     <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n     <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n     <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n     <path d=\"M 72.703125 32.078125 \nQ 68.453125 32.078125 66.03125 28.46875 \nQ 63.625 24.859375 63.625 18.40625 \nQ 63.625 12.0625 66.03125 8.421875 \nQ 68.453125 4.78125 72.703125 4.78125 \nQ 76.859375 4.78125 79.265625 8.421875 \nQ 81.6875 12.0625 81.6875 18.40625 \nQ 81.6875 24.8125 79.265625 28.4375 \nQ 76.859375 32.078125 72.703125 32.078125 \nz\nM 72.703125 38.28125 \nQ 80.421875 38.28125 84.953125 32.90625 \nQ 89.5 27.546875 89.5 18.40625 \nQ 89.5 9.28125 84.9375 3.921875 \nQ 80.375 -1.421875 72.703125 -1.421875 \nQ 64.890625 -1.421875 60.34375 3.921875 \nQ 55.8125 9.28125 55.8125 18.40625 \nQ 55.8125 27.59375 60.375 32.9375 \nQ 64.9375 38.28125 72.703125 38.28125 \nz\nM 22.3125 68.015625 \nQ 18.109375 68.015625 15.6875 64.375 \nQ 13.28125 60.75 13.28125 54.390625 \nQ 13.28125 47.953125 15.671875 44.328125 \nQ 18.0625 40.71875 22.3125 40.71875 \nQ 26.5625 40.71875 28.96875 44.328125 \nQ 31.390625 47.953125 31.390625 54.390625 \nQ 31.390625 60.6875 28.953125 64.34375 \nQ 26.515625 68.015625 22.3125 68.015625 \nz\nM 66.40625 74.21875 \nL 74.21875 74.21875 \nL 28.609375 -1.421875 \nL 20.796875 -1.421875 \nz\nM 22.3125 74.21875 \nQ 30.03125 74.21875 34.609375 68.875 \nQ 39.203125 63.53125 39.203125 54.390625 \nQ 39.203125 45.171875 34.640625 39.84375 \nQ 30.078125 34.515625 22.3125 34.515625 \nQ 14.546875 34.515625 10.03125 39.859375 \nQ 5.515625 45.21875 5.515625 54.390625 \nQ 5.515625 63.484375 10.046875 68.84375 \nQ 14.59375 74.21875 22.3125 74.21875 \nz\n\" id=\"DejaVuSans-37\"/>\n    </defs>\n    <g transform=\"translate(152.9077 16.318125)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-77\"/>\n     <use x=\"86.279297\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"154.6875\" xlink:href=\"#DejaVuSans-80\"/>\n     <use x=\"214.990234\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"278.173828\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"309.960938\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"393.75\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"425.537109\" xlink:href=\"#DejaVuSans-55\"/>\n     <use x=\"489.160156\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"520.947266\" xlink:href=\"#DejaVuSans-54\"/>\n     <use x=\"584.570312\" xlink:href=\"#DejaVuSans-49\"/>\n     <use x=\"648.193359\" xlink:href=\"#DejaVuSans-37\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_21\">\n     <path d=\"M 39.099888 35.416562 \nL 59.099888 35.416562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_15\">\n     <!-- data -->\n     <defs>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"163.964844\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 39.099888 50.094687 \nL 59.099888 50.094687 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_16\">\n     <!-- backtest 3-months ahead forecast (Theta) -->\n     <defs>\n      <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 31.109375 \nL 44.921875 54.6875 \nL 56.390625 54.6875 \nL 27.390625 29.109375 \nL 57.625 0 \nL 45.90625 0 \nL 18.109375 26.703125 \nL 18.109375 0 \nL 9.078125 0 \nz\n\" id=\"DejaVuSans-107\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 4.890625 31.390625 \nL 31.203125 31.390625 \nL 31.203125 23.390625 \nL 4.890625 23.390625 \nz\n\" id=\"DejaVuSans-45\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M -0.296875 72.90625 \nL 61.375 72.90625 \nL 61.375 64.59375 \nL 35.5 64.59375 \nL 35.5 0 \nL 25.59375 0 \nL 25.59375 64.59375 \nL -0.296875 64.59375 \nz\n\" id=\"DejaVuSans-84\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(67.099887 53.594687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"179.736328\" xlink:href=\"#DejaVuSans-107\"/>\n      <use x=\"237.646484\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"276.855469\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"338.378906\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"390.478516\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"429.6875\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"461.474609\" xlink:href=\"#DejaVuSans-51\"/>\n      <use x=\"525.097656\" xlink:href=\"#DejaVuSans-45\"/>\n      <use x=\"561.181641\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"658.59375\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"719.775391\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"783.154297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"822.363281\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"885.742188\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"937.841797\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"969.628906\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1030.908203\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"1094.287109\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1155.810547\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1217.089844\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"1280.566406\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1312.353516\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"1347.558594\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"1408.740234\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1447.603516\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1509.126953\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"1564.107422\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1625.386719\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"1677.486328\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1716.695312\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1748.482422\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1787.496094\" xlink:href=\"#DejaVuSans-84\"/>\n      <use x=\"1848.580078\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"1911.958984\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1973.482422\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"2012.691406\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"2073.970703\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p9f7bfc2ec4\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "series.plot(label='data')\n",
    "historical_fcast_theta.plot(label='backtest 3-months ahead forecast (Theta)')\n",
    "plt.title('MAPE = {:.2f}%'.format(mape(historical_fcast_theta, series)))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's look at the fitted value residuals of our current `Theta` model, i.e. the difference between the 1-step forecasts at every point in time obtained by fitting the model on all previous points, and the actual observed values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 576x432 with 3 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"440.39952pt\" version=\"1.1\" viewBox=\"0 0 584.396891 440.39952\" width=\"584.396891pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 440.39952 \nL 584.396891 440.39952 \nL 584.396891 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 48.105708 193.099517 \nL 572.100563 193.099517 \nL 572.100563 22.318125 \nL 48.105708 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 127.270398 193.099517 \nL 127.270398 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(116.670473 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 217.74433 193.099517 \nL 217.74433 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(207.144405 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 308.218262 193.099517 \nL 308.218262 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(297.618337 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 398.692193 193.099517 \nL 398.692193 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(388.092268 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 489.166125 193.099517 \nL 489.166125 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(478.5662 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\"/>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 182.700521 \nL 572.100563 182.700521 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_7\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m1e39bc4634\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"182.700521\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- −40 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 185.86527)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 160.07826 \nL 572.100563 160.07826 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_9\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"160.07826\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- −20 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 163.243009)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_10\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 137.455998 \nL 572.100563 137.455998 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_11\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"137.455998\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(35.805745 140.620747)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_12\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 114.833736 \nL 572.100563 114.833736 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_13\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"114.833736\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 117.998485)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_14\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 92.211474 \nL 572.100563 92.211474 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_15\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"92.211474\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 40 -->\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 95.376224)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_16\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 69.589213 \nL 572.100563 69.589213 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_17\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"69.589213\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 60 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 72.753962)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_18\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 46.966951 \nL 572.100563 46.966951 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_19\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"46.966951\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 80 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 50.1317)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_20\">\n      <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 24.344689 \nL 572.100563 24.344689 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_21\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"24.344689\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 100 -->\n      <g style=\"fill:#333333;\" transform=\"translate(25.20582 27.509439)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- value -->\n     <defs>\n      <path d=\"M 1.515625 54.6875 \nL 19 54.6875 \nL 32.625 16.890625 \nL 46.1875 54.6875 \nL 63.71875 54.6875 \nL 42.1875 0 \nL 23 0 \nz\n\" id=\"DejaVuSans-Bold-118\"/>\n      <path d=\"M 32.90625 24.609375 \nQ 27.4375 24.609375 24.671875 22.75 \nQ 21.921875 20.90625 21.921875 17.28125 \nQ 21.921875 13.96875 24.140625 12.078125 \nQ 26.375 10.203125 30.328125 10.203125 \nQ 35.25 10.203125 38.625 13.734375 \nQ 42 17.28125 42 22.609375 \nL 42 24.609375 \nz\nM 59.625 31.203125 \nL 59.625 0 \nL 42 0 \nL 42 8.109375 \nQ 38.484375 3.125 34.078125 0.84375 \nQ 29.6875 -1.421875 23.390625 -1.421875 \nQ 14.890625 -1.421875 9.59375 3.53125 \nQ 4.296875 8.5 4.296875 16.40625 \nQ 4.296875 26.03125 10.90625 30.515625 \nQ 17.53125 35.015625 31.6875 35.015625 \nL 42 35.015625 \nL 42 36.375 \nQ 42 40.53125 38.71875 42.453125 \nQ 35.453125 44.390625 28.515625 44.390625 \nQ 22.90625 44.390625 18.0625 43.265625 \nQ 13.234375 42.140625 9.078125 39.890625 \nL 9.078125 53.21875 \nQ 14.703125 54.59375 20.359375 55.296875 \nQ 26.03125 56 31.6875 56 \nQ 46.484375 56 53.046875 50.171875 \nQ 59.625 44.34375 59.625 31.203125 \nz\n\" id=\"DejaVuSans-Bold-97\"/>\n      <path d=\"M 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 0 \nL 8.40625 0 \nz\n\" id=\"DejaVuSans-Bold-108\"/>\n      <path d=\"M 7.8125 21.296875 \nL 7.8125 54.6875 \nL 25.390625 54.6875 \nL 25.390625 49.21875 \nQ 25.390625 44.78125 25.34375 38.0625 \nQ 25.296875 31.34375 25.296875 29.109375 \nQ 25.296875 22.515625 25.640625 19.609375 \nQ 25.984375 16.703125 26.8125 15.375 \nQ 27.875 13.671875 29.609375 12.734375 \nQ 31.34375 11.8125 33.59375 11.8125 \nQ 39.0625 11.8125 42.1875 16.015625 \nQ 45.3125 20.21875 45.3125 27.6875 \nL 45.3125 54.6875 \nL 62.796875 54.6875 \nL 62.796875 0 \nL 45.3125 0 \nL 45.3125 7.90625 \nQ 41.359375 3.125 36.9375 0.84375 \nQ 32.515625 -1.421875 27.203125 -1.421875 \nQ 17.71875 -1.421875 12.765625 4.390625 \nQ 7.8125 10.203125 7.8125 21.296875 \nz\n\" id=\"DejaVuSans-Bold-117\"/>\n      <path d=\"M 62.984375 27.484375 \nL 62.984375 22.515625 \nL 22.125 22.515625 \nQ 22.75 16.359375 26.5625 13.28125 \nQ 30.375 10.203125 37.203125 10.203125 \nQ 42.71875 10.203125 48.5 11.84375 \nQ 54.296875 13.484375 60.40625 16.796875 \nL 60.40625 3.328125 \nQ 54.203125 0.984375 48 -0.21875 \nQ 41.796875 -1.421875 35.59375 -1.421875 \nQ 20.75 -1.421875 12.515625 6.125 \nQ 4.296875 13.671875 4.296875 27.296875 \nQ 4.296875 40.671875 12.375 48.328125 \nQ 20.453125 56 34.625 56 \nQ 47.515625 56 55.25 48.234375 \nQ 62.984375 40.484375 62.984375 27.484375 \nz\nM 45.015625 33.296875 \nQ 45.015625 38.28125 42.109375 41.328125 \nQ 39.203125 44.390625 34.515625 44.390625 \nQ 29.4375 44.390625 26.265625 41.53125 \nQ 23.09375 38.671875 22.3125 33.296875 \nz\n\" id=\"DejaVuSans-Bold-101\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(17.445816 123.007258)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"65.185547\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"132.666016\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"166.943359\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"238.134766\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#pfb90dba5a5)\" d=\"M 48.105708 155.382825 \nL 51.875455 155.95167 \nL 55.645202 125.835126 \nL 59.414949 127.775962 \nL 63.184696 144.255594 \nL 66.954444 158.001969 \nL 70.724191 162.110756 \nL 74.493938 157.417473 \nL 78.263685 122.162117 \nL 82.033432 140.737541 \nL 85.803179 124.366934 \nL 89.572927 119.981428 \nL 93.342674 144.382821 \nL 97.112421 149.145427 \nL 100.882168 110.558633 \nL 104.651915 114.469043 \nL 108.421662 139.062331 \nL 112.191409 153.224676 \nL 115.961157 168.110145 \nL 119.730904 161.000381 \nL 123.500651 109.532001 \nL 127.270398 133.210813 \nL 131.040145 133.206827 \nL 134.809892 123.074757 \nL 138.57964 131.01427 \nL 142.349387 112.52546 \nL 146.119134 134.692763 \nL 149.888881 118.435919 \nL 153.658628 105.239262 \nL 157.428375 138.444379 \nL 161.198123 134.266859 \nL 164.96787 130.699254 \nL 168.737617 141.426969 \nL 172.507364 137.221656 \nL 176.277111 139.074415 \nL 180.046858 124.330503 \nL 183.816605 129.266012 \nL 187.586353 114.44258 \nL 191.3561 116.516074 \nL 195.125847 100.482055 \nL 198.895594 75.945462 \nL 202.665341 149.574028 \nL 206.435088 129.645983 \nL 210.204836 130.077055 \nL 213.974583 140.191183 \nL 217.74433 139.416334 \nL 221.514077 150.215454 \nL 225.283824 124.576748 \nL 229.053571 112.063957 \nL 232.823319 116.538998 \nL 236.593066 115.119137 \nL 240.362813 101.265923 \nL 244.13256 97.348267 \nL 247.902307 149.166892 \nL 251.672054 137.905497 \nL 255.441801 146.07115 \nL 259.211549 149.942832 \nL 262.981296 144.534522 \nL 266.751043 170.54854 \nL 270.52079 127.807761 \nL 274.290537 135.933565 \nL 278.060284 126.158299 \nL 281.830032 94.912034 \nL 285.599779 71.227733 \nL 289.369526 121.922944 \nL 293.139273 141.956833 \nL 296.90902 135.204126 \nL 300.678767 132.876533 \nL 304.448514 138.173675 \nL 308.218262 125.614549 \nL 311.988009 149.187531 \nL 315.757756 141.720696 \nL 319.527503 123.60737 \nL 323.29725 126.898784 \nL 327.066997 119.434394 \nL 330.836745 66.652397 \nL 334.606492 137.690609 \nL 338.376239 136.46595 \nL 342.145986 136.60685 \nL 345.915733 140.689599 \nL 349.68548 129.854577 \nL 353.455228 135.768551 \nL 357.224975 149.015304 \nL 360.994722 142.510063 \nL 364.764469 131.174306 \nL 368.534216 128.221599 \nL 372.303963 90.276307 \nL 376.07371 83.606753 \nL 379.843458 123.656323 \nL 383.613205 146.532543 \nL 387.382952 145.29464 \nL 391.152699 135.655501 \nL 394.922446 143.173726 \nL 398.692193 136.381735 \nL 402.461941 156.881854 \nL 406.231688 131.100669 \nL 410.001435 133.796578 \nL 413.771182 127.397887 \nL 417.540929 75.217022 \nL 421.310676 72.713083 \nL 425.080424 107.443945 \nL 428.850171 148.997028 \nL 432.619918 144.617052 \nL 436.389665 136.505058 \nL 440.159412 151.297331 \nL 443.929159 143.125757 \nL 447.698906 164.819663 \nL 451.468654 148.382653 \nL 455.238401 145.013754 \nL 459.008148 123.815596 \nL 462.777895 114.3775 \nL 466.547642 60.787721 \nL 470.317389 86.623204 \nL 474.087137 185.336726 \nL 477.856884 133.189829 \nL 481.626631 142.605936 \nL 485.396378 155.700289 \nL 489.166125 121.431862 \nL 492.935872 153.805846 \nL 496.70562 125.63917 \nL 500.475367 131.82092 \nL 504.245114 108.999092 \nL 508.014861 140.281498 \nL 511.784608 30.080916 \nL 515.554355 106.374492 \nL 519.324102 163.876096 \nL 523.09385 136.021907 \nL 526.863597 129.498647 \nL 530.633344 140.580797 \nL 534.403091 134.351116 \nL 538.172838 160.910616 \nL 541.942585 177.21793 \nL 545.712333 81.214683 \nL 549.48208 117.876253 \nL 553.251827 137.661987 \nL 557.021574 35.397002 \nL 560.791321 138.218885 \nL 564.561068 162.977581 \nL 568.330815 122.296506 \nL 572.100563 150.575694 \nL 572.100563 150.575694 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_15\">\n    <!-- Residual values -->\n    <defs>\n     <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n     <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n    </defs>\n    <g transform=\"translate(263.34251 16.318125)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-82\"/>\n     <use x=\"64.982422\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"126.505859\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"178.605469\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"206.388672\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"269.865234\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"333.244141\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"394.523438\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"422.306641\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"454.09375\" xlink:href=\"#DejaVuSans-118\"/>\n     <use x=\"513.273438\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"574.552734\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"602.335938\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"665.714844\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"727.238281\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_3\">\n    <path d=\"M 331.6224 404.381392 \nL 572.100563 404.381392 \nL 572.100563 233.6 \nL 331.6224 233.6 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 342.553226 404.381392 \nL 353.484051 404.381392 \nL 353.484051 398.572501 \nL 342.553226 398.572501 \nz\n\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 353.484051 404.381392 \nL 364.414877 404.381392 \nL 364.414877 392.76361 \nL 353.484051 392.76361 \nz\n\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 364.414877 404.381392 \nL 375.345702 404.381392 \nL 375.345702 375.336937 \nL 364.414877 375.336937 \nz\n\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 375.345702 404.381392 \nL 386.276528 404.381392 \nL 386.276528 357.910265 \nL 375.345702 357.910265 \nz\n\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 386.276528 404.381392 \nL 397.207354 404.381392 \nL 397.207354 323.05692 \nL 386.276528 323.05692 \nz\n\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 397.207354 404.381392 \nL 408.138179 404.381392 \nL 408.138179 276.585793 \nL 397.207354 276.585793 \nz\n\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 408.138179 404.381392 \nL 419.069005 404.381392 \nL 419.069005 241.732447 \nL 408.138179 241.732447 \nz\n\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 419.069005 404.381392 \nL 429.99983 404.381392 \nL 429.99983 282.394683 \nL 419.069005 282.394683 \nz\n\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 429.99983 404.381392 \nL 440.930656 404.381392 \nL 440.930656 340.483592 \nL 429.99983 340.483592 \nz\n\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 440.930656 404.381392 \nL 451.861481 404.381392 \nL 451.861481 352.101374 \nL 440.930656 352.101374 \nz\n\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 451.861481 404.381392 \nL 462.792307 404.381392 \nL 462.792307 375.336937 \nL 451.861481 375.336937 \nz\n\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 462.792307 404.381392 \nL 473.723133 404.381392 \nL 473.723133 392.76361 \nL 462.792307 392.76361 \nz\n\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 473.723133 404.381392 \nL 484.653958 404.381392 \nL 484.653958 392.76361 \nL 473.723133 392.76361 \nz\n\"/>\n   </g>\n   <g id=\"patch_17\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 484.653958 404.381392 \nL 495.584784 404.381392 \nL 495.584784 392.76361 \nL 484.653958 392.76361 \nz\n\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 495.584784 404.381392 \nL 506.515609 404.381392 \nL 506.515609 381.145828 \nL 495.584784 381.145828 \nz\n\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 506.515609 404.381392 \nL 517.446435 404.381392 \nL 517.446435 398.572501 \nL 506.515609 398.572501 \nz\n\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 517.446435 404.381392 \nL 528.37726 404.381392 \nL 528.37726 398.572501 \nL 517.446435 398.572501 \nz\n\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 528.37726 404.381392 \nL 539.308086 404.381392 \nL 539.308086 404.381392 \nL 528.37726 404.381392 \nz\n\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 539.308086 404.381392 \nL 550.238912 404.381392 \nL 550.238912 404.381392 \nL 539.308086 404.381392 \nz\n\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 550.238912 404.381392 \nL 561.169737 404.381392 \nL 561.169737 392.76361 \nL 550.238912 392.76361 \nz\n\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_12\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 346.26528 404.381392 \nL 346.26528 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_16\">\n      <!-- −40 -->\n      <g style=\"fill:#333333;\" transform=\"translate(337.475178 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_13\">\n     <g id=\"line2d_24\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 378.119804 404.381392 \nL 378.119804 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_17\">\n      <!-- −20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(369.329701 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_14\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 409.974328 404.381392 \nL 409.974328 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_18\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(407.324346 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_15\">\n     <g id=\"line2d_26\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 441.828851 404.381392 \nL 441.828851 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_19\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(436.528889 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_16\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 473.683375 404.381392 \nL 473.683375 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_20\">\n      <!-- 40 -->\n      <g style=\"fill:#333333;\" transform=\"translate(468.383413 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_17\">\n     <g id=\"line2d_28\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 505.537899 404.381392 \nL 505.537899 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_21\">\n      <!-- 60 -->\n      <g style=\"fill:#333333;\" transform=\"translate(500.237937 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_18\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 537.392423 404.381392 \nL 537.392423 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_22\">\n      <!-- 80 -->\n      <g style=\"fill:#333333;\" transform=\"translate(532.09246 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_19\">\n     <g id=\"line2d_30\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 569.246947 404.381392 \nL 569.246947 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_23\">\n      <!-- 100 -->\n      <g style=\"fill:#333333;\" transform=\"translate(561.297003 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_24\">\n     <!-- value -->\n     <g style=\"fill:#333333;\" transform=\"translate(436.563044 431.041707)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"65.185547\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"132.666016\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"166.943359\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"238.134766\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_9\">\n     <g id=\"line2d_31\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 404.381392 \nL 572.100563 404.381392 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_32\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"404.381392\"/>\n      </g>\n     </g>\n     <g id=\"text_25\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(319.322438 407.546141)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_10\">\n     <g id=\"line2d_33\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 386.954719 \nL 572.100563 386.954719 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_34\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"386.954719\"/>\n      </g>\n     </g>\n     <g id=\"text_26\">\n      <!-- 3 -->\n      <g style=\"fill:#333333;\" transform=\"translate(319.322438 390.119468)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_35\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 369.528047 \nL 572.100563 369.528047 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_36\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"369.528047\"/>\n      </g>\n     </g>\n     <g id=\"text_27\">\n      <!-- 6 -->\n      <g style=\"fill:#333333;\" transform=\"translate(319.322438 372.692796)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_37\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 352.101374 \nL 572.100563 352.101374 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_38\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"352.101374\"/>\n      </g>\n     </g>\n     <g id=\"text_28\">\n      <!-- 9 -->\n      <g style=\"fill:#333333;\" transform=\"translate(319.322438 355.266123)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_13\">\n     <g id=\"line2d_39\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 334.674701 \nL 572.100563 334.674701 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_40\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"334.674701\"/>\n      </g>\n     </g>\n     <g id=\"text_29\">\n      <!-- 12 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 337.839451)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_41\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 317.248029 \nL 572.100563 317.248029 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_42\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"317.248029\"/>\n      </g>\n     </g>\n     <g id=\"text_30\">\n      <!-- 15 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 320.412778)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_15\">\n     <g id=\"line2d_43\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 299.821356 \nL 572.100563 299.821356 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_44\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"299.821356\"/>\n      </g>\n     </g>\n     <g id=\"text_31\">\n      <!-- 18 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 302.986105)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_16\">\n     <g id=\"line2d_45\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 282.394683 \nL 572.100563 282.394683 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_46\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"282.394683\"/>\n      </g>\n     </g>\n     <g id=\"text_32\">\n      <!-- 21 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 285.559433)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_17\">\n     <g id=\"line2d_47\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 264.968011 \nL 572.100563 264.968011 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_48\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"264.968011\"/>\n      </g>\n     </g>\n     <g id=\"text_33\">\n      <!-- 24 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 268.13276)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_49\">\n      <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 331.6224 247.541338 \nL 572.100563 247.541338 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_50\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"331.6224\" xlink:href=\"#m1e39bc4634\" y=\"247.541338\"/>\n      </g>\n     </g>\n     <g id=\"text_34\">\n      <!-- 27 -->\n      <g style=\"fill:#333333;\" transform=\"translate(314.022475 250.706087)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_35\">\n     <!-- count -->\n     <defs>\n      <path d=\"M 52.59375 52.984375 \nL 52.59375 38.71875 \nQ 49.03125 41.15625 45.4375 42.328125 \nQ 41.84375 43.5 37.984375 43.5 \nQ 30.671875 43.5 26.59375 39.234375 \nQ 22.515625 34.96875 22.515625 27.296875 \nQ 22.515625 19.625 26.59375 15.34375 \nQ 30.671875 11.078125 37.984375 11.078125 \nQ 42.09375 11.078125 45.78125 12.296875 \nQ 49.46875 13.53125 52.59375 15.921875 \nL 52.59375 1.609375 \nQ 48.484375 0.09375 44.265625 -0.65625 \nQ 40.046875 -1.421875 35.796875 -1.421875 \nQ 21 -1.421875 12.640625 6.171875 \nQ 4.296875 13.765625 4.296875 27.296875 \nQ 4.296875 40.828125 12.640625 48.40625 \nQ 21 56 35.796875 56 \nQ 40.09375 56 44.265625 55.25 \nQ 48.4375 54.5 52.59375 52.984375 \nz\n\" id=\"DejaVuSans-Bold-99\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(307.942788 334.898508)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-99\"/>\n      <use x=\"59.277344\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"127.978516\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"199.169922\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"270.361328\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_51\">\n    <path clip-path=\"url(#p8ab6ffcf15)\" d=\"M 342.553226 395.889511 \nL 344.761473 394.635388 \nL 346.969721 393.240081 \nL 349.177969 391.695149 \nL 351.386216 389.992851 \nL 353.594464 388.126372 \nL 355.802711 386.090064 \nL 358.010959 383.879686 \nL 360.219207 381.492659 \nL 362.427454 378.928301 \nL 364.635702 376.188066 \nL 366.843949 373.275754 \nL 369.052197 370.197705 \nL 371.260444 366.962949 \nL 373.468692 363.58333 \nL 375.67694 360.073575 \nL 377.885187 356.451308 \nL 380.093435 352.737016 \nL 382.301682 348.953943 \nL 384.50993 345.127928 \nL 386.718178 341.287166 \nL 388.926425 337.461921 \nL 391.134673 333.684164 \nL 393.34292 329.987157 \nL 395.551168 326.404991 \nL 397.759416 322.972077 \nL 399.967663 319.722609 \nL 402.175911 316.690003 \nL 404.384158 313.90633 \nL 406.592406 311.401756 \nL 408.800653 309.204001 \nL 411.008901 307.337822 \nL 413.217149 305.824559 \nL 415.425396 304.681721 \nL 417.633644 303.922654 \nL 419.841891 303.556279 \nL 422.050139 303.586917 \nL 424.258387 304.014206 \nL 426.466634 304.833109 \nL 428.674882 306.034008 \nL 430.883129 307.602899 \nL 433.091377 309.521656 \nL 435.299625 311.768387 \nL 437.507872 314.317845 \nL 439.71612 317.1419 \nL 441.924367 320.210057 \nL 444.132615 323.489999 \nL 446.340862 326.948154 \nL 448.54911 330.550258 \nL 450.757358 334.261916 \nL 452.965605 338.049132 \nL 455.173853 341.878813 \nL 457.3821 345.719227 \nL 459.590348 349.540407 \nL 461.798596 353.314501 \nL 464.006843 357.016059 \nL 466.215091 360.622252 \nL 468.423338 364.113029 \nL 470.631586 367.471211 \nL 472.839834 370.682518 \nL 475.048081 373.735546 \nL 477.256329 376.621687 \nL 479.464576 379.335005 \nL 481.672824 381.872074 \nL 483.881071 384.231785 \nL 486.089319 386.415125 \nL 488.297567 388.424948 \nL 490.505814 390.265725 \nL 492.714062 391.943302 \nL 494.922309 393.464651 \nL 497.130557 394.837636 \nL 499.338805 396.070787 \nL 501.547052 397.17309 \nL 503.7553 398.153798 \nL 505.963547 399.022258 \nL 508.171795 399.787762 \nL 510.380043 400.459421 \nL 512.58829 401.046055 \nL 514.796538 401.556108 \nL 517.004785 401.997583 \nL 519.213033 402.377991 \nL 521.42128 402.704322 \nL 523.629528 402.983023 \nL 525.837776 403.219999 \nL 528.046023 403.420613 \nL 530.254271 403.589702 \nL 532.462518 403.731601 \nL 534.670766 403.850166 \nL 536.879014 403.948807 \nL 539.087261 404.030518 \nL 541.295509 404.097915 \nL 543.503756 404.153268 \nL 545.712004 404.198535 \nL 547.920252 404.235397 \nL 550.128499 404.265286 \nL 552.336747 404.28942 \nL 554.544994 404.308824 \nL 556.753242 404.32436 \nL 558.96149 404.336746 \nL 561.169737 404.34658 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_36\">\n    <!-- Distribution -->\n    <defs>\n     <path d=\"M 19.671875 64.796875 \nL 19.671875 8.109375 \nL 31.59375 8.109375 \nQ 46.6875 8.109375 53.6875 14.9375 \nQ 60.6875 21.78125 60.6875 36.53125 \nQ 60.6875 51.171875 53.6875 57.984375 \nQ 46.6875 64.796875 31.59375 64.796875 \nz\nM 9.8125 72.90625 \nL 30.078125 72.90625 \nQ 51.265625 72.90625 61.171875 64.09375 \nQ 71.09375 55.28125 71.09375 36.53125 \nQ 71.09375 17.671875 61.125 8.828125 \nQ 51.171875 0 30.078125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-68\"/>\n     <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n    </defs>\n    <g transform=\"translate(416.858981 227.6)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-68\"/>\n     <use x=\"77.001953\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"104.785156\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"156.884766\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"196.09375\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"237.207031\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"264.990234\" xlink:href=\"#DejaVuSans-98\"/>\n     <use x=\"328.466797\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"391.845703\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"431.054688\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"458.837891\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"520.019531\" xlink:href=\"#DejaVuSans-110\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_24\">\n    <path d=\"M 48.105708 404.381392 \nL 288.58387 404.381392 \nL 288.58387 233.6 \nL 48.105708 233.6 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_1\">\n    <defs>\n     <path d=\"M 67.781194 -75.299891 \nL 67.781194 -77.652708 \nL 76.525854 -77.717826 \nL 85.270515 -77.718672 \nL 94.015175 -77.71993 \nL 102.759836 -77.785484 \nL 111.504496 -77.832407 \nL 120.249157 -77.850352 \nL 128.993817 -77.920252 \nL 137.738477 -77.958457 \nL 146.483138 -77.958699 \nL 155.227798 -77.965174 \nL 163.972459 -78.03769 \nL 172.717119 -78.405827 \nL 181.46178 -78.445355 \nL 190.20644 -78.445543 \nL 198.951101 -78.447678 \nL 207.695761 -78.466452 \nL 216.440422 -78.490228 \nL 225.185082 -78.505705 \nL 233.929742 -78.549722 \nL 242.674403 -78.568177 \nL 251.419063 -78.569775 \nL 260.163724 -78.574323 \nL 268.908384 -78.629924 \nL 268.908384 -74.322675 \nL 268.908384 -74.322675 \nL 260.163724 -74.378277 \nL 251.419063 -74.382825 \nL 242.674403 -74.384423 \nL 233.929742 -74.402877 \nL 225.185082 -74.446895 \nL 216.440422 -74.462371 \nL 207.695761 -74.486147 \nL 198.951101 -74.504921 \nL 190.20644 -74.507057 \nL 181.46178 -74.507244 \nL 172.717119 -74.546772 \nL 163.972459 -74.914909 \nL 155.227798 -74.987425 \nL 146.483138 -74.9939 \nL 137.738477 -74.994143 \nL 128.993817 -75.032347 \nL 120.249157 -75.102247 \nL 111.504496 -75.120193 \nL 102.759836 -75.167115 \nL 94.015175 -75.23267 \nL 85.270515 -75.233928 \nL 76.525854 -75.234774 \nL 67.781194 -75.299891 \nz\n\" id=\"mf3bffa16a3\" style=\"stroke:#003dfd;stroke-opacity:0.25;\"/>\n    </defs>\n    <g clip-path=\"url(#p951e283a33)\">\n     <use style=\"fill:#003dfd;fill-opacity:0.25;stroke:#003dfd;stroke-opacity:0.25;\" x=\"0\" xlink:href=\"#mf3bffa16a3\" y=\"440.39952\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_5\">\n    <g id=\"xtick_20\">\n     <g id=\"line2d_52\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 59.036533 404.381392 \nL 59.036533 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_37\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(56.386552 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_21\">\n     <g id=\"line2d_53\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 102.759836 404.381392 \nL 102.759836 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_38\">\n      <!-- 5 -->\n      <g style=\"fill:#333333;\" transform=\"translate(100.109854 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_22\">\n     <g id=\"line2d_54\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 146.483138 404.381392 \nL 146.483138 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_39\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(141.183175 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_23\">\n     <g id=\"line2d_55\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 190.20644 404.381392 \nL 190.20644 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_40\">\n      <!-- 15 -->\n      <g style=\"fill:#333333;\" transform=\"translate(184.906478 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_24\">\n     <g id=\"line2d_56\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 233.929742 404.381392 \nL 233.929742 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_41\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(228.62978 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_25\">\n     <g id=\"line2d_57\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 277.653045 404.381392 \nL 277.653045 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_42\">\n      <!-- 25 -->\n      <g style=\"fill:#333333;\" transform=\"translate(272.353082 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_43\">\n     <!-- lag -->\n     <defs>\n      <path d=\"M 45.609375 9.28125 \nQ 42 4.5 37.640625 2.25 \nQ 33.296875 0 27.59375 0 \nQ 17.578125 0 11.03125 7.875 \nQ 4.5 15.765625 4.5 27.984375 \nQ 4.5 40.234375 11.03125 48.0625 \nQ 17.578125 55.90625 27.59375 55.90625 \nQ 33.296875 55.90625 37.640625 53.65625 \nQ 42 51.421875 45.609375 46.578125 \nL 45.609375 54.6875 \nL 63.1875 54.6875 \nL 63.1875 5.515625 \nQ 63.1875 -7.671875 54.859375 -14.625 \nQ 46.53125 -21.578125 30.71875 -21.578125 \nQ 25.59375 -21.578125 20.796875 -20.796875 \nQ 16.015625 -20.015625 11.1875 -18.40625 \nL 11.1875 -4.78125 \nQ 15.765625 -7.421875 20.15625 -8.71875 \nQ 24.5625 -10.015625 29 -10.015625 \nQ 37.59375 -10.015625 41.59375 -6.25 \nQ 45.609375 -2.484375 45.609375 5.515625 \nz\nM 34.078125 43.3125 \nQ 28.65625 43.3125 25.625 39.296875 \nQ 22.609375 35.296875 22.609375 27.984375 \nQ 22.609375 20.453125 25.53125 16.578125 \nQ 28.46875 12.703125 34.078125 12.703125 \nQ 39.546875 12.703125 42.578125 16.703125 \nQ 45.609375 20.703125 45.609375 27.984375 \nQ 45.609375 35.296875 42.578125 39.296875 \nQ 39.546875 43.3125 34.078125 43.3125 \nz\n\" id=\"DejaVuSans-Bold-103\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(159.677602 431.041707)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"34.277344\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"101.757812\" xlink:href=\"#DejaVuSans-Bold-103\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_19\">\n     <g id=\"line2d_58\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 388.435306 \nL 288.58387 388.435306 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_59\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"388.435306\"/>\n      </g>\n     </g>\n     <g id=\"text_44\">\n      <!-- −0.2 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(20.878125 391.600056)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_60\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 363.92322 \nL 288.58387 363.92322 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_61\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"363.92322\"/>\n      </g>\n     </g>\n     <g id=\"text_45\">\n      <!-- 0.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 367.08797)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_21\">\n     <g id=\"line2d_62\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 339.411134 \nL 288.58387 339.411134 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_63\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"339.411134\"/>\n      </g>\n     </g>\n     <g id=\"text_46\">\n      <!-- 0.2 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 342.575884)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_22\">\n     <g id=\"line2d_64\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 314.899048 \nL 288.58387 314.899048 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_65\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"314.899048\"/>\n      </g>\n     </g>\n     <g id=\"text_47\">\n      <!-- 0.4 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 318.063798)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_66\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 290.386962 \nL 288.58387 290.386962 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_67\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"290.386962\"/>\n      </g>\n     </g>\n     <g id=\"text_48\">\n      <!-- 0.6 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 293.551712)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_24\">\n     <g id=\"line2d_68\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 265.874876 \nL 288.58387 265.874876 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_69\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"265.874876\"/>\n      </g>\n     </g>\n     <g id=\"text_49\">\n      <!-- 0.8 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 269.039626)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_25\">\n     <g id=\"line2d_70\">\n      <path clip-path=\"url(#p951e283a33)\" d=\"M 48.105708 241.362791 \nL 288.58387 241.362791 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_71\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1e39bc4634\" y=\"241.362791\"/>\n      </g>\n     </g>\n     <g id=\"text_50\">\n      <!-- 1.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 244.52754)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_51\">\n     <!-- ACF value -->\n     <defs>\n      <path d=\"M 53.421875 13.28125 \nL 24.03125 13.28125 \nL 19.390625 0 \nL 0.484375 0 \nL 27.484375 72.90625 \nL 49.90625 72.90625 \nL 76.90625 0 \nL 58.015625 0 \nz\nM 28.71875 26.8125 \nL 48.6875 26.8125 \nL 38.71875 55.8125 \nz\n\" id=\"DejaVuSans-Bold-65\"/>\n      <path d=\"M 67 4 \nQ 61.8125 1.3125 56.203125 -0.046875 \nQ 50.59375 -1.421875 44.484375 -1.421875 \nQ 26.265625 -1.421875 15.625 8.765625 \nQ 4.984375 18.953125 4.984375 36.375 \nQ 4.984375 53.859375 15.625 64.03125 \nQ 26.265625 74.21875 44.484375 74.21875 \nQ 50.59375 74.21875 56.203125 72.84375 \nQ 61.8125 71.484375 67 68.796875 \nL 67 53.71875 \nQ 61.765625 57.28125 56.6875 58.9375 \nQ 51.609375 60.59375 46 60.59375 \nQ 35.9375 60.59375 30.171875 54.140625 \nQ 24.421875 47.703125 24.421875 36.375 \nQ 24.421875 25.09375 30.171875 18.640625 \nQ 35.9375 12.203125 46 12.203125 \nQ 51.609375 12.203125 56.6875 13.859375 \nQ 61.765625 15.53125 67 19.09375 \nz\n\" id=\"DejaVuSans-Bold-67\"/>\n      <path d=\"M 9.1875 72.90625 \nL 59.90625 72.90625 \nL 59.90625 58.6875 \nL 27.984375 58.6875 \nL 27.984375 45.125 \nL 58.015625 45.125 \nL 58.015625 30.90625 \nL 27.984375 30.90625 \nL 27.984375 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-70\"/>\n      <path id=\"DejaVuSans-Bold-32\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(14.798437 346.984446)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-65\"/>\n      <use x=\"77.392578\" xlink:href=\"#DejaVuSans-Bold-67\"/>\n      <use x=\"150.78125\" xlink:href=\"#DejaVuSans-Bold-70\"/>\n      <use x=\"219.091797\" xlink:href=\"#DejaVuSans-Bold-32\"/>\n      <use x=\"253.90625\" xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"319.091797\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"386.572266\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"420.849609\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"492.041016\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_72\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 59.036533 363.92322 \nL 59.036533 241.362791 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_73\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 67.781194 363.92322 \nL 67.781194 334.691875 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_74\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 76.525854 363.92322 \nL 76.525854 367.300489 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_75\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 85.270515 363.92322 \nL 85.270515 359.803564 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_76\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 94.015175 363.92322 \nL 94.015175 394.059409 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_77\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 102.759836 363.92322 \nL 102.759836 389.975145 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_78\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 111.504496 363.92322 \nL 111.504496 380.229174 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_79\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 120.249157 363.92322 \nL 120.249157 396.618601 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_80\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 128.993817 363.92322 \nL 128.993817 388.554112 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_81\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 137.738477 363.92322 \nL 137.738477 361.947311 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_82\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 146.483138 363.92322 \nL 146.483138 374.14112 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_83\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 155.227798 363.92322 \nL 155.227798 329.276338 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_84\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 163.972459 363.92322 \nL 163.972459 280.410689 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_85\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 172.717119 363.92322 \nL 172.717119 335.004306 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_86\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 181.46178 363.92322 \nL 181.46178 361.921347 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_87\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 190.20644 363.92322 \nL 190.20644 370.681237 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_88\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 198.951101 363.92322 \nL 198.951101 384.013633 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_89\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 207.695761 363.92322 \nL 207.695761 386.652994 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_90\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 216.440422 363.92322 \nL 216.440422 382.351635 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_91\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 225.185082 363.92322 \nL 225.185082 395.229399 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_92\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 233.929742 363.92322 \nL 233.929742 384.347812 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_93\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 242.674403 363.92322 \nL 242.674403 369.947864 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_94\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 251.419063 363.92322 \nL 251.419063 374.094501 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_95\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 260.163724 363.92322 \nL 260.163724 328.105346 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_96\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 268.908384 363.92322 \nL 268.908384 306.281826 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_97\">\n    <path clip-path=\"url(#p951e283a33)\" d=\"M 59.036533 363.92322 \nL 277.653045 363.92322 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_52\">\n    <!-- ACF -->\n    <defs>\n     <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n     <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n     <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n    </defs>\n    <g transform=\"translate(156.704789 227.6)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"66.658203\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"136.482422\" xlink:href=\"#DejaVuSans-70\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pfb90dba5a5\">\n   <rect height=\"170.781392\" width=\"523.994855\" x=\"48.105708\" y=\"22.318125\"/>\n  </clipPath>\n  <clipPath id=\"p8ab6ffcf15\">\n   <rect height=\"170.781392\" width=\"240.478162\" x=\"331.6224\" y=\"233.6\"/>\n  </clipPath>\n  <clipPath id=\"p951e283a33\">\n   <rect height=\"170.781392\" width=\"240.478162\" x=\"48.105708\" y=\"233.6\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_residuals_analysis(best_theta_model.residuals(series))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that the distribution has a mean that is slightly larger than 0. This means that our `Theta` model is biased. We can also make out a large ACF value at lag equal to 12, which indicates that the residuals contain information that was not used by the model.\n",
    "\n",
    "Could we maybe do better with a simple `ExponentialSmoothing` model?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=69.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "b8ac13be305e4e958356c31f6e0618ea"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"275.698128pt\" version=\"1.1\" viewBox=\"0 0 372.099887 275.698128\" width=\"372.099887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 275.698128 \nL 372.099887 275.698128 \nL 372.099887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 239.758125 \nL 364.899888 239.758125 \nL 364.899888 22.318125 \nL 30.099888 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 239.758125 \nL 30.099888 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 86.290097 239.758125 \nL 86.290097 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(75.690172 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 142.480307 239.758125 \nL 142.480307 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(131.880382 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 198.670517 239.758125 \nL 198.670517 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(188.070592 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 254.860727 239.758125 \nL 254.860727 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 311.050936 239.758125 \nL 311.050936 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(300.451011 253.087623)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(179.580356 266.418441)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 231.400919 \nL 364.899888 231.400919 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mc98b7ed3bd\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"231.400919\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 234.565668)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 193.240161 \nL 364.899888 193.240161 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"193.240161\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 196.40491)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 155.079403 \nL 364.899888 155.079403 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"155.079403\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 158.244152)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 116.918644 \nL 364.899888 116.918644 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"116.918644\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 120.083394)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 78.757886 \nL 364.899888 78.757886 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"78.757886\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 81.922636)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 40.597128 \nL 364.899888 40.597128 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#mc98b7ed3bd\" y=\"40.597128\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 43.761877)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p1bc8e81323)\" d=\"M 30.099888 226.821628 \nL 32.441146 224.531982 \nL 34.782405 219.189476 \nL 37.123664 220.334299 \nL 39.464922 223.38716 \nL 41.806181 218.044654 \nL 44.14744 213.083755 \nL 46.488699 213.083755 \nL 48.829957 217.663046 \nL 51.171216 224.150375 \nL 53.512475 229.874489 \nL 55.853734 224.531982 \nL 58.194992 225.676805 \nL 60.536251 221.479122 \nL 62.87751 215.755008 \nL 65.218769 218.044654 \nL 67.560027 221.860729 \nL 69.901286 212.702147 \nL 72.242545 204.688388 \nL 74.583804 204.688388 \nL 76.925062 209.267679 \nL 79.266321 218.807869 \nL 81.60758 226.058413 \nL 83.948839 216.136616 \nL 88.631356 212.32054 \nL 90.972615 201.635528 \nL 93.313874 207.359641 \nL 95.655132 203.925173 \nL 97.996391 201.635528 \nL 100.33765 193.621768 \nL 102.678908 193.621768 \nL 105.020167 199.345882 \nL 107.361426 207.741249 \nL 109.702685 213.84697 \nL 112.043943 206.214819 \nL 114.385202 204.306781 \nL 116.726461 200.872312 \nL 119.06772 195.911414 \nL 121.408978 200.490705 \nL 123.750237 199.72749 \nL 126.091496 186.371224 \nL 130.774013 177.212642 \nL 133.115272 189.805693 \nL 135.456531 196.674629 \nL 137.79779 203.925173 \nL 140.139048 195.529806 \nL 142.480307 194.766591 \nL 144.821566 194.766591 \nL 147.162825 179.502288 \nL 149.504083 179.883895 \nL 151.845342 182.173541 \nL 154.186601 176.831035 \nL 156.52786 168.817276 \nL 158.869118 165.764415 \nL 161.210377 179.12068 \nL 163.551636 189.042477 \nL 165.892894 200.872312 \nL 168.234153 192.858553 \nL 170.575412 191.71373 \nL 172.916671 197.819452 \nL 175.257929 179.883895 \nL 177.599188 182.936756 \nL 179.940447 180.265503 \nL 182.281706 168.817276 \nL 184.622964 154.316187 \nL 186.964223 157.750656 \nL 189.305482 170.725313 \nL 191.646741 182.173541 \nL 193.987999 192.095338 \nL 196.329258 182.173541 \nL 198.670517 177.212642 \nL 201.011776 180.647111 \nL 203.353034 167.672453 \nL 205.694293 166.909238 \nL 208.035552 166.52763 \nL 210.376811 149.355289 \nL 212.718069 130.656517 \nL 215.059328 137.143846 \nL 217.400587 150.500112 \nL 222.083104 179.12068 \nL 224.424363 163.474769 \nL 226.765622 161.185124 \nL 229.106881 163.856377 \nL 231.448139 148.592074 \nL 233.789398 150.118504 \nL 236.130657 148.210466 \nL 238.471915 126.840442 \nL 240.813174 111.957746 \nL 243.154433 115.010607 \nL 247.83695 152.789757 \nL 250.178209 166.146023 \nL 252.519468 152.789757 \nL 254.860727 149.355289 \nL 257.201985 154.697795 \nL 259.543244 133.709378 \nL 261.884503 136.762239 \nL 264.225762 134.090986 \nL 266.56702 108.523278 \nL 268.908279 92.114152 \nL 271.249538 91.350937 \nL 273.590797 115.392214 \nL 275.932055 137.143846 \nL 278.273314 153.171365 \nL 280.614573 141.34153 \nL 282.955832 139.815099 \nL 285.29709 148.210466 \nL 287.638349 131.419733 \nL 289.979608 136.762239 \nL 292.320867 131.038125 \nL 294.662125 103.562379 \nL 297.003384 82.192355 \nL 299.344643 76.849848 \nL 301.685901 115.392214 \nL 304.02716 132.564555 \nL 306.368419 151.263327 \nL 308.709678 140.959922 \nL 311.050936 132.182948 \nL 313.392195 139.051884 \nL 315.733454 114.628999 \nL 318.074713 118.445075 \nL 320.415971 109.286493 \nL 322.75723 89.442899 \nL 325.098489 60.440722 \nL 327.439748 56.243039 \nL 329.781006 92.877367 \nL 332.122265 114.247391 \nL 334.463524 131.419733 \nL 336.804783 115.010607 \nL 339.146041 110.431316 \nL 341.4873 120.353113 \nL 343.828559 109.6681 \nL 346.169818 93.640582 \nL 348.511076 89.442899 \nL 350.852335 65.401621 \nL 353.193594 32.201761 \nL 355.534853 38.307483 \nL 357.876111 75.705026 \nL 360.21737 93.640582 \nL 362.558629 120.73472 \nL 364.899888 104.707202 \nL 364.899888 104.707202 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p1bc8e81323)\" d=\"M 203.353034 167.442867 \nL 205.694293 168.554613 \nL 208.035552 170.48444 \nL 210.376811 164.40642 \nL 212.718069 152.482787 \nL 215.059328 152.804068 \nL 217.400587 160.382169 \nL 219.741846 168.235351 \nL 222.083104 176.044753 \nL 224.424363 164.459954 \nL 226.765622 159.827155 \nL 229.106881 164.743932 \nL 231.448139 149.550151 \nL 233.789398 148.408011 \nL 236.130657 146.946087 \nL 238.471915 130.643439 \nL 240.813174 115.382736 \nL 243.154433 123.716793 \nL 245.495692 136.892654 \nL 247.83695 150.684741 \nL 250.178209 160.636035 \nL 252.519468 145.466089 \nL 254.860727 144.795109 \nL 257.201985 148.600501 \nL 259.543244 134.882814 \nL 261.884503 136.552647 \nL 264.225762 135.680084 \nL 266.56702 114.69538 \nL 268.908279 100.475064 \nL 271.249538 105.194942 \nL 273.590797 122.733542 \nL 275.932055 138.356322 \nL 278.273314 147.41494 \nL 280.614573 131.853214 \nL 282.955832 128.233599 \nL 285.29709 133.886088 \nL 287.638349 115.829282 \nL 289.979608 121.111612 \nL 292.320867 121.562929 \nL 294.662125 100.880162 \nL 297.003384 89.497633 \nL 299.344643 93.102578 \nL 301.685901 118.19455 \nL 304.02716 137.628929 \nL 306.368419 148.657003 \nL 308.709678 136.370441 \nL 311.050936 132.510177 \nL 313.392195 139.148379 \nL 315.733454 121.010833 \nL 318.074713 123.06688 \nL 320.415971 115.95239 \nL 322.75723 86.873094 \nL 325.098489 66.448403 \nL 327.439748 63.177726 \nL 329.781006 102.136762 \nL 332.122265 117.918856 \nL 334.463524 133.894683 \nL 336.804783 120.404133 \nL 339.146041 111.759153 \nL 341.4873 118.233811 \nL 343.828559 93.333671 \nL 346.169818 97.633723 \nL 348.511076 90.347268 \nL 350.852335 73.72057 \nL 353.193594 43.427267 \nL 355.534853 40.005287 \nL 357.876111 76.592544 \nL 360.21737 95.201956 \nL 362.558629 113.081604 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_14\">\n    <!-- MAPE = 4.08% -->\n    <defs>\n     <path d=\"M 9.8125 72.90625 \nL 24.515625 72.90625 \nL 43.109375 23.296875 \nL 61.8125 72.90625 \nL 76.515625 72.90625 \nL 76.515625 0 \nL 66.890625 0 \nL 66.890625 64.015625 \nL 48.09375 14.015625 \nL 38.1875 14.015625 \nL 19.390625 64.015625 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-77\"/>\n     <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n     <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n     <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n     <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n     <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n     <path d=\"M 72.703125 32.078125 \nQ 68.453125 32.078125 66.03125 28.46875 \nQ 63.625 24.859375 63.625 18.40625 \nQ 63.625 12.0625 66.03125 8.421875 \nQ 68.453125 4.78125 72.703125 4.78125 \nQ 76.859375 4.78125 79.265625 8.421875 \nQ 81.6875 12.0625 81.6875 18.40625 \nQ 81.6875 24.8125 79.265625 28.4375 \nQ 76.859375 32.078125 72.703125 32.078125 \nz\nM 72.703125 38.28125 \nQ 80.421875 38.28125 84.953125 32.90625 \nQ 89.5 27.546875 89.5 18.40625 \nQ 89.5 9.28125 84.9375 3.921875 \nQ 80.375 -1.421875 72.703125 -1.421875 \nQ 64.890625 -1.421875 60.34375 3.921875 \nQ 55.8125 9.28125 55.8125 18.40625 \nQ 55.8125 27.59375 60.375 32.9375 \nQ 64.9375 38.28125 72.703125 38.28125 \nz\nM 22.3125 68.015625 \nQ 18.109375 68.015625 15.6875 64.375 \nQ 13.28125 60.75 13.28125 54.390625 \nQ 13.28125 47.953125 15.671875 44.328125 \nQ 18.0625 40.71875 22.3125 40.71875 \nQ 26.5625 40.71875 28.96875 44.328125 \nQ 31.390625 47.953125 31.390625 54.390625 \nQ 31.390625 60.6875 28.953125 64.34375 \nQ 26.515625 68.015625 22.3125 68.015625 \nz\nM 66.40625 74.21875 \nL 74.21875 74.21875 \nL 28.609375 -1.421875 \nL 20.796875 -1.421875 \nz\nM 22.3125 74.21875 \nQ 30.03125 74.21875 34.609375 68.875 \nQ 39.203125 63.53125 39.203125 54.390625 \nQ 39.203125 45.171875 34.640625 39.84375 \nQ 30.078125 34.515625 22.3125 34.515625 \nQ 14.546875 34.515625 10.03125 39.859375 \nQ 5.515625 45.21875 5.515625 54.390625 \nQ 5.515625 63.484375 10.046875 68.84375 \nQ 14.59375 74.21875 22.3125 74.21875 \nz\n\" id=\"DejaVuSans-37\"/>\n    </defs>\n    <g transform=\"translate(152.9077 16.318125)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-77\"/>\n     <use x=\"86.279297\" xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"154.6875\" xlink:href=\"#DejaVuSans-80\"/>\n     <use x=\"214.990234\" xlink:href=\"#DejaVuSans-69\"/>\n     <use x=\"278.173828\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"309.960938\" xlink:href=\"#DejaVuSans-61\"/>\n     <use x=\"393.75\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"425.537109\" xlink:href=\"#DejaVuSans-52\"/>\n     <use x=\"489.160156\" xlink:href=\"#DejaVuSans-46\"/>\n     <use x=\"520.947266\" xlink:href=\"#DejaVuSans-48\"/>\n     <use x=\"584.570312\" xlink:href=\"#DejaVuSans-56\"/>\n     <use x=\"648.193359\" xlink:href=\"#DejaVuSans-37\"/>\n    </g>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_21\">\n     <path d=\"M 39.099888 35.416562 \nL 59.099888 35.416562 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_22\"/>\n    <g id=\"text_15\">\n     <!-- data -->\n     <defs>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.916562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"163.964844\" xlink:href=\"#DejaVuSans-97\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 39.099888 50.094687 \nL 59.099888 50.094687 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_24\"/>\n    <g id=\"text_16\">\n     <!-- backtest 3-months ahead forecast (Exp. Smoothing) -->\n     <defs>\n      <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 31.109375 \nL 44.921875 54.6875 \nL 56.390625 54.6875 \nL 27.390625 29.109375 \nL 57.625 0 \nL 45.90625 0 \nL 18.109375 26.703125 \nL 18.109375 0 \nL 9.078125 0 \nz\n\" id=\"DejaVuSans-107\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 4.890625 31.390625 \nL 31.203125 31.390625 \nL 31.203125 23.390625 \nL 4.890625 23.390625 \nz\n\" id=\"DejaVuSans-45\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 45.40625 27.984375 \nQ 45.40625 37.75 41.375 43.109375 \nQ 37.359375 48.484375 30.078125 48.484375 \nQ 22.859375 48.484375 18.828125 43.109375 \nQ 14.796875 37.75 14.796875 27.984375 \nQ 14.796875 18.265625 18.828125 12.890625 \nQ 22.859375 7.515625 30.078125 7.515625 \nQ 37.359375 7.515625 41.375 12.890625 \nQ 45.40625 18.265625 45.40625 27.984375 \nz\nM 54.390625 6.78125 \nQ 54.390625 -7.171875 48.1875 -13.984375 \nQ 42 -20.796875 29.203125 -20.796875 \nQ 24.46875 -20.796875 20.265625 -20.09375 \nQ 16.0625 -19.390625 12.109375 -17.921875 \nL 12.109375 -9.1875 \nQ 16.0625 -11.328125 19.921875 -12.34375 \nQ 23.78125 -13.375 27.78125 -13.375 \nQ 36.625 -13.375 41.015625 -8.765625 \nQ 45.40625 -4.15625 45.40625 5.171875 \nL 45.40625 9.625 \nQ 42.625 4.78125 38.28125 2.390625 \nQ 33.9375 0 27.875 0 \nQ 17.828125 0 11.671875 7.65625 \nQ 5.515625 15.328125 5.515625 27.984375 \nQ 5.515625 40.671875 11.671875 48.328125 \nQ 17.828125 56 27.875 56 \nQ 33.9375 56 38.28125 53.609375 \nQ 42.625 51.21875 45.40625 46.390625 \nL 45.40625 54.6875 \nL 54.390625 54.6875 \nz\n\" id=\"DejaVuSans-103\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(67.099887 53.594687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"124.755859\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"179.736328\" xlink:href=\"#DejaVuSans-107\"/>\n      <use x=\"237.646484\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"276.855469\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"338.378906\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"390.478516\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"429.6875\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"461.474609\" xlink:href=\"#DejaVuSans-51\"/>\n      <use x=\"525.097656\" xlink:href=\"#DejaVuSans-45\"/>\n      <use x=\"561.181641\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"658.59375\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"719.775391\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"783.154297\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"822.363281\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"885.742188\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"937.841797\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"969.628906\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1030.908203\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"1094.287109\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1155.810547\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1217.089844\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"1280.566406\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1312.353516\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"1347.558594\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"1408.740234\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"1447.603516\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1509.126953\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"1564.107422\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"1625.386719\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"1677.486328\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1716.695312\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1748.482422\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"1787.496094\" xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"1850.679688\" xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"1909.859375\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"1973.335938\" xlink:href=\"#DejaVuSans-46\"/>\n      <use x=\"2005.123047\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"2036.910156\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"2100.386719\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"2197.798828\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"2258.980469\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"2320.162109\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"2359.371094\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"2422.75\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"2450.533203\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"2513.912109\" xlink:href=\"#DejaVuSans-103\"/>\n      <use x=\"2577.388672\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p1bc8e81323\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"30.099888\" y=\"22.318125\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "model_es = ExponentialSmoothing()\n",
    "historical_fcast_es = model_es.historical_forecasts(series, start=pd.Timestamp('19550101'), forecast_horizon=3, verbose=True)\n",
    "\n",
    "series.plot(label='data')\n",
    "historical_fcast_es.plot(label='backtest 3-months ahead forecast (Exp. Smoothing)')\n",
    "plt.title('MAPE = {:.2f}%'.format(mape(historical_fcast_es, series)))\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This much better! We get a mean absolute percentage error of 4.08% when backtesting with a 3-months forecast horizon in this case. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 576x432 with 3 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"440.39952pt\" version=\"1.1\" viewBox=\"0 0 584.39952 440.39952\" width=\"584.39952pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 440.39952 \nL 584.39952 440.39952 \nL 584.39952 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 48.105708 193.099517 \nL 577.19952 193.099517 \nL 577.19952 22.318125 \nL 48.105708 22.318125 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 193.099517 \nL 48.105708 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(37.505783 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 101.911858 193.099517 \nL 101.911858 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1952 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(91.311933 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 155.718009 193.099517 \nL 155.718009 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(145.118084 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 209.524159 193.099517 \nL 209.524159 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1954 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(198.924234 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 263.330309 193.099517 \nL 263.330309 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(252.730384 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 317.13646 193.099517 \nL 317.13646 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1956 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(306.536535 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 370.94261 193.099517 \nL 370.94261 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_7\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(360.342685 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_8\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 424.748761 193.099517 \nL 424.748761 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_8\">\n      <!-- 1958 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(414.148836 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_9\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 478.554911 193.099517 \nL 478.554911 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_9\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(467.954986 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_10\">\n     <g id=\"line2d_10\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 532.361061 193.099517 \nL 532.361061 22.318125 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_10\">\n      <!-- 1960 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(521.761136 206.429015)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"xtick_13\"/>\n    <g id=\"xtick_14\"/>\n    <g id=\"xtick_15\"/>\n    <g id=\"xtick_16\"/>\n    <g id=\"xtick_17\"/>\n    <g id=\"xtick_18\"/>\n    <g id=\"xtick_19\"/>\n    <g id=\"xtick_20\"/>\n    <g id=\"xtick_21\"/>\n    <g id=\"xtick_22\"/>\n    <g id=\"xtick_23\"/>\n    <g id=\"xtick_24\"/>\n    <g id=\"xtick_25\"/>\n    <g id=\"xtick_26\"/>\n    <g id=\"xtick_27\"/>\n    <g id=\"xtick_28\"/>\n    <g id=\"xtick_29\"/>\n    <g id=\"xtick_30\"/>\n    <g id=\"xtick_31\"/>\n    <g id=\"xtick_32\"/>\n    <g id=\"xtick_33\"/>\n    <g id=\"xtick_34\"/>\n    <g id=\"xtick_35\"/>\n    <g id=\"xtick_36\"/>\n    <g id=\"xtick_37\"/>\n    <g id=\"xtick_38\"/>\n    <g id=\"xtick_39\"/>\n    <g id=\"xtick_40\"/>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 185.313518 \nL 577.19952 185.313518 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m1f544129e4\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"185.313518\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- −40 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 188.478267)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 164.849354 \nL 577.19952 164.849354 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"164.849354\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- −30 -->\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 168.014103)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 144.38519 \nL 577.19952 144.38519 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"144.38519\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- −20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 147.549939)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 123.921026 \nL 577.19952 123.921026 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"123.921026\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- −10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(23.525503 127.085775)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 103.456862 \nL 577.19952 103.456862 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"103.456862\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(35.805745 106.621611)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 82.992698 \nL 577.19952 82.992698 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"82.992698\"/>\n      </g>\n     </g>\n     <g id=\"text_16\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 86.157447)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_7\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 62.528534 \nL 577.19952 62.528534 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"62.528534\"/>\n      </g>\n     </g>\n     <g id=\"text_17\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 65.693283)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_8\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 42.06437 \nL 577.19952 42.06437 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"42.06437\"/>\n      </g>\n     </g>\n     <g id=\"text_18\">\n      <!-- 30 -->\n      <g style=\"fill:#333333;\" transform=\"translate(30.505783 45.229119)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_19\">\n     <!-- value -->\n     <defs>\n      <path d=\"M 1.515625 54.6875 \nL 19 54.6875 \nL 32.625 16.890625 \nL 46.1875 54.6875 \nL 63.71875 54.6875 \nL 42.1875 0 \nL 23 0 \nz\n\" id=\"DejaVuSans-Bold-118\"/>\n      <path d=\"M 32.90625 24.609375 \nQ 27.4375 24.609375 24.671875 22.75 \nQ 21.921875 20.90625 21.921875 17.28125 \nQ 21.921875 13.96875 24.140625 12.078125 \nQ 26.375 10.203125 30.328125 10.203125 \nQ 35.25 10.203125 38.625 13.734375 \nQ 42 17.28125 42 22.609375 \nL 42 24.609375 \nz\nM 59.625 31.203125 \nL 59.625 0 \nL 42 0 \nL 42 8.109375 \nQ 38.484375 3.125 34.078125 0.84375 \nQ 29.6875 -1.421875 23.390625 -1.421875 \nQ 14.890625 -1.421875 9.59375 3.53125 \nQ 4.296875 8.5 4.296875 16.40625 \nQ 4.296875 26.03125 10.90625 30.515625 \nQ 17.53125 35.015625 31.6875 35.015625 \nL 42 35.015625 \nL 42 36.375 \nQ 42 40.53125 38.71875 42.453125 \nQ 35.453125 44.390625 28.515625 44.390625 \nQ 22.90625 44.390625 18.0625 43.265625 \nQ 13.234375 42.140625 9.078125 39.890625 \nL 9.078125 53.21875 \nQ 14.703125 54.59375 20.359375 55.296875 \nQ 26.03125 56 31.6875 56 \nQ 46.484375 56 53.046875 50.171875 \nQ 59.625 44.34375 59.625 31.203125 \nz\n\" id=\"DejaVuSans-Bold-97\"/>\n      <path d=\"M 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 0 \nL 8.40625 0 \nz\n\" id=\"DejaVuSans-Bold-108\"/>\n      <path d=\"M 7.8125 21.296875 \nL 7.8125 54.6875 \nL 25.390625 54.6875 \nL 25.390625 49.21875 \nQ 25.390625 44.78125 25.34375 38.0625 \nQ 25.296875 31.34375 25.296875 29.109375 \nQ 25.296875 22.515625 25.640625 19.609375 \nQ 25.984375 16.703125 26.8125 15.375 \nQ 27.875 13.671875 29.609375 12.734375 \nQ 31.34375 11.8125 33.59375 11.8125 \nQ 39.0625 11.8125 42.1875 16.015625 \nQ 45.3125 20.21875 45.3125 27.6875 \nL 45.3125 54.6875 \nL 62.796875 54.6875 \nL 62.796875 0 \nL 45.3125 0 \nL 45.3125 7.90625 \nQ 41.359375 3.125 36.9375 0.84375 \nQ 32.515625 -1.421875 27.203125 -1.421875 \nQ 17.71875 -1.421875 12.765625 4.390625 \nQ 7.8125 10.203125 7.8125 21.296875 \nz\n\" id=\"DejaVuSans-Bold-117\"/>\n      <path d=\"M 62.984375 27.484375 \nL 62.984375 22.515625 \nL 22.125 22.515625 \nQ 22.75 16.359375 26.5625 13.28125 \nQ 30.375 10.203125 37.203125 10.203125 \nQ 42.71875 10.203125 48.5 11.84375 \nQ 54.296875 13.484375 60.40625 16.796875 \nL 60.40625 3.328125 \nQ 54.203125 0.984375 48 -0.21875 \nQ 41.796875 -1.421875 35.59375 -1.421875 \nQ 20.75 -1.421875 12.515625 6.125 \nQ 4.296875 13.671875 4.296875 27.296875 \nQ 4.296875 40.671875 12.375 48.328125 \nQ 20.453125 56 34.625 56 \nQ 47.515625 56 55.25 48.234375 \nQ 62.984375 40.484375 62.984375 27.484375 \nz\nM 45.015625 33.296875 \nQ 45.015625 38.28125 42.109375 41.328125 \nQ 39.203125 44.390625 34.515625 44.390625 \nQ 29.4375 44.390625 26.265625 41.53125 \nQ 23.09375 38.671875 22.3125 33.296875 \nz\n\" id=\"DejaVuSans-Bold-101\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(17.445816 123.007258)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"65.185547\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"132.666016\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"166.943359\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"238.134766\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p6bfc0656ea)\" d=\"M 48.105708 83.297943 \nL 52.589554 108.916153 \nL 57.0734 77.933918 \nL 61.557245 132.480869 \nL 66.041091 70.804384 \nL 70.524937 132.679296 \nL 75.008783 100.615473 \nL 79.492629 102.193216 \nL 83.976475 109.028553 \nL 88.460321 107.991865 \nL 92.944166 106.561512 \nL 97.428012 103.43496 \nL 101.911858 96.677579 \nL 106.395704 97.286235 \nL 110.87955 113.03873 \nL 115.363396 115.989413 \nL 119.847242 98.764293 \nL 124.331088 59.783225 \nL 128.814933 94.598467 \nL 133.298779 76.579507 \nL 137.782625 135.978169 \nL 142.266471 109.775432 \nL 146.750317 111.245096 \nL 151.234163 102.954788 \nL 155.718009 104.896082 \nL 160.201854 119.941268 \nL 164.6857 64.811708 \nL 169.169546 66.741355 \nL 173.653392 99.237268 \nL 178.137238 114.04888 \nL 182.621084 98.800883 \nL 187.10493 91.331639 \nL 191.588776 133.416685 \nL 196.072621 127.911106 \nL 200.556467 140.196484 \nL 205.040313 111.206486 \nL 209.524159 103.778856 \nL 214.008005 146.362555 \nL 218.491851 66.956308 \nL 222.975697 87.188164 \nL 227.459542 70.634148 \nL 231.943388 73.381107 \nL 236.427234 55.564182 \nL 240.91108 124.307293 \nL 245.394926 127.21397 \nL 249.878772 131.931527 \nL 254.362618 123.099466 \nL 258.846464 105.997938 \nL 263.330309 83.339031 \nL 267.814155 114.073525 \nL 272.298001 115.74487 \nL 276.781847 77.718184 \nL 281.265693 91.834495 \nL 285.749539 50.935371 \nL 290.233385 40.629128 \nL 294.71723 69.782673 \nL 299.201076 77.968575 \nL 303.684922 102.928196 \nL 308.168768 127.48934 \nL 312.652614 91.679464 \nL 317.13646 107.020124 \nL 321.620306 101.130773 \nL 326.104152 97.928044 \nL 330.587997 114.840671 \nL 335.071843 108.685495 \nL 339.555689 78.298661 \nL 344.039535 90.544444 \nL 348.523381 67.663862 \nL 353.007227 108.232117 \nL 357.491073 130.308783 \nL 361.974918 123.131004 \nL 366.458764 126.9978 \nL 370.94261 115.579875 \nL 375.426456 125.963976 \nL 379.910302 87.415029 \nL 384.394148 102.485726 \nL 388.877994 99.86205 \nL 393.361839 71.635223 \nL 397.845685 68.475398 \nL 402.329531 48.650221 \nL 406.813377 90.634544 \nL 411.297223 117.349027 \nL 415.781069 134.250076 \nL 420.264915 141.565264 \nL 424.748761 144.677788 \nL 429.232606 156.306553 \nL 433.716452 160.460913 \nL 438.200298 156.268487 \nL 442.684144 123.112123 \nL 447.16799 97.076553 \nL 451.651836 60.342837 \nL 456.135682 30.080916 \nL 460.619527 121.244938 \nL 465.103373 92.672912 \nL 469.587219 115.254779 \nL 474.071065 127.933997 \nL 478.554911 91.506537 \nL 483.038757 99.142531 \nL 487.522603 73.895078 \nL 492.006449 88.103529 \nL 496.490294 80.538888 \nL 500.97414 128.036546 \nL 505.457986 71.09071 \nL 509.941832 68.090241 \nL 514.425678 72.983589 \nL 518.909524 102.466556 \nL 523.39337 99.304274 \nL 527.877215 75.970035 \nL 532.361061 105.148311 \nL 536.844907 122.333329 \nL 541.328753 185.336726 \nL 545.812599 53.901883 \nL 550.296445 88.54998 \nL 554.780291 77.356082 \nL 559.264137 54.809917 \nL 563.747982 115.393629 \nL 568.231828 109.517557 \nL 572.715674 89.940766 \nL 577.19952 146.4786 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_20\">\n    <!-- Residual values -->\n    <defs>\n     <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n     <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n     <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n     <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n     <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n     <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     <path id=\"DejaVuSans-32\"/>\n     <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n    </defs>\n    <g transform=\"translate(265.891989 16.318125)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-82\"/>\n     <use x=\"64.982422\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"126.505859\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"178.605469\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"206.388672\" xlink:href=\"#DejaVuSans-100\"/>\n     <use x=\"269.865234\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"333.244141\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"394.523438\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"422.306641\" xlink:href=\"#DejaVuSans-32\"/>\n     <use x=\"454.09375\" xlink:href=\"#DejaVuSans-118\"/>\n     <use x=\"513.273438\" xlink:href=\"#DejaVuSans-97\"/>\n     <use x=\"574.552734\" xlink:href=\"#DejaVuSans-108\"/>\n     <use x=\"602.335938\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"665.714844\" xlink:href=\"#DejaVuSans-101\"/>\n     <use x=\"727.238281\" xlink:href=\"#DejaVuSans-115\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_2\">\n   <g id=\"patch_3\">\n    <path d=\"M 334.171879 404.381392 \nL 577.19952 404.381392 \nL 577.19952 233.6 \nL 334.171879 233.6 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 345.21859 404.381392 \nL 356.265301 404.381392 \nL 356.265301 393.538129 \nL 345.21859 393.538129 \nz\n\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 356.265301 404.381392 \nL 367.312012 404.381392 \nL 367.312012 404.381392 \nL 356.265301 404.381392 \nz\n\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 367.312012 404.381392 \nL 378.358723 404.381392 \nL 378.358723 404.381392 \nL 367.312012 404.381392 \nz\n\"/>\n   </g>\n   <g id=\"patch_7\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 378.358723 404.381392 \nL 389.405434 404.381392 \nL 389.405434 371.851603 \nL 378.358723 371.851603 \nz\n\"/>\n   </g>\n   <g id=\"patch_8\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 389.405434 404.381392 \nL 400.452145 404.381392 \nL 400.452145 404.381392 \nL 389.405434 404.381392 \nz\n\"/>\n   </g>\n   <g id=\"patch_9\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 400.452145 404.381392 \nL 411.498856 404.381392 \nL 411.498856 350.165077 \nL 400.452145 350.165077 \nz\n\"/>\n   </g>\n   <g id=\"patch_10\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 411.498856 404.381392 \nL 422.545567 404.381392 \nL 422.545567 339.321814 \nL 411.498856 339.321814 \nz\n\"/>\n   </g>\n   <g id=\"patch_11\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 422.545567 404.381392 \nL 433.592278 404.381392 \nL 433.592278 306.792025 \nL 422.545567 306.792025 \nz\n\"/>\n   </g>\n   <g id=\"patch_12\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 433.592278 404.381392 \nL 444.638988 404.381392 \nL 444.638988 295.948762 \nL 433.592278 295.948762 \nz\n\"/>\n   </g>\n   <g id=\"patch_13\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 444.638988 404.381392 \nL 455.685699 404.381392 \nL 455.685699 241.732447 \nL 444.638988 241.732447 \nz\n\"/>\n   </g>\n   <g id=\"patch_14\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 455.685699 404.381392 \nL 466.73241 404.381392 \nL 466.73241 252.57571 \nL 455.685699 252.57571 \nz\n\"/>\n   </g>\n   <g id=\"patch_15\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 466.73241 404.381392 \nL 477.779121 404.381392 \nL 477.779121 274.262236 \nL 466.73241 274.262236 \nz\n\"/>\n   </g>\n   <g id=\"patch_16\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 477.779121 404.381392 \nL 488.825832 404.381392 \nL 488.825832 285.105499 \nL 477.779121 285.105499 \nz\n\"/>\n   </g>\n   <g id=\"patch_17\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 488.825832 404.381392 \nL 499.872543 404.381392 \nL 499.872543 317.635288 \nL 488.825832 317.635288 \nz\n\"/>\n   </g>\n   <g id=\"patch_18\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 499.872543 404.381392 \nL 510.919254 404.381392 \nL 510.919254 295.948762 \nL 499.872543 295.948762 \nz\n\"/>\n   </g>\n   <g id=\"patch_19\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 510.919254 404.381392 \nL 521.965965 404.381392 \nL 521.965965 339.321814 \nL 510.919254 339.321814 \nz\n\"/>\n   </g>\n   <g id=\"patch_20\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 521.965965 404.381392 \nL 533.012676 404.381392 \nL 533.012676 350.165077 \nL 521.965965 350.165077 \nz\n\"/>\n   </g>\n   <g id=\"patch_21\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 533.012676 404.381392 \nL 544.059387 404.381392 \nL 544.059387 382.694866 \nL 533.012676 382.694866 \nz\n\"/>\n   </g>\n   <g id=\"patch_22\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 544.059387 404.381392 \nL 555.106098 404.381392 \nL 555.106098 393.538129 \nL 544.059387 393.538129 \nz\n\"/>\n   </g>\n   <g id=\"patch_23\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 555.106098 404.381392 \nL 566.152809 404.381392 \nL 566.152809 393.538129 \nL 555.106098 393.538129 \nz\n\"/>\n   </g>\n   <g id=\"matplotlib.axis_3\">\n    <g id=\"xtick_41\">\n     <g id=\"line2d_28\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 345.251617 404.381392 \nL 345.251617 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_21\">\n      <!-- −40 -->\n      <g style=\"fill:#333333;\" transform=\"translate(336.461514 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_42\">\n     <g id=\"line2d_29\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 374.372807 404.381392 \nL 374.372807 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_22\">\n      <!-- −30 -->\n      <g style=\"fill:#333333;\" transform=\"translate(365.582705 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_43\">\n     <g id=\"line2d_30\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 403.493998 404.381392 \nL 403.493998 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_23\">\n      <!-- −20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(394.703896 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_44\">\n     <g id=\"line2d_31\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 432.615189 404.381392 \nL 432.615189 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_24\">\n      <!-- −10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(423.825087 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_45\">\n     <g id=\"line2d_32\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 461.73638 404.381392 \nL 461.73638 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_25\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(459.086398 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_46\">\n     <g id=\"line2d_33\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 490.857571 404.381392 \nL 490.857571 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_26\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(485.557608 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_47\">\n     <g id=\"line2d_34\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 519.978761 404.381392 \nL 519.978761 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_27\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(514.678799 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_48\">\n     <g id=\"line2d_35\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 549.099952 404.381392 \nL 549.099952 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_28\">\n      <!-- 30 -->\n      <g style=\"fill:#333333;\" transform=\"translate(543.79999 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_29\">\n     <!-- value -->\n     <g style=\"fill:#333333;\" transform=\"translate(440.387262 431.041707)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"65.185547\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"132.666016\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"166.943359\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"238.134766\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_4\">\n    <g id=\"ytick_9\">\n     <g id=\"line2d_36\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 404.381392 \nL 577.19952 404.381392 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_37\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"404.381392\"/>\n      </g>\n     </g>\n     <g id=\"text_30\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(321.871916 407.546141)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_10\">\n     <g id=\"line2d_38\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 382.694866 \nL 577.19952 382.694866 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_39\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"382.694866\"/>\n      </g>\n     </g>\n     <g id=\"text_31\">\n      <!-- 2 -->\n      <g style=\"fill:#333333;\" transform=\"translate(321.871916 385.859615)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_11\">\n     <g id=\"line2d_40\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 361.00834 \nL 577.19952 361.00834 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_41\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"361.00834\"/>\n      </g>\n     </g>\n     <g id=\"text_32\">\n      <!-- 4 -->\n      <g style=\"fill:#333333;\" transform=\"translate(321.871916 364.173089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_12\">\n     <g id=\"line2d_42\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 339.321814 \nL 577.19952 339.321814 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_43\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"339.321814\"/>\n      </g>\n     </g>\n     <g id=\"text_33\">\n      <!-- 6 -->\n      <g style=\"fill:#333333;\" transform=\"translate(321.871916 342.486563)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_13\">\n     <g id=\"line2d_44\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 317.635288 \nL 577.19952 317.635288 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_45\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"317.635288\"/>\n      </g>\n     </g>\n     <g id=\"text_34\">\n      <!-- 8 -->\n      <g style=\"fill:#333333;\" transform=\"translate(321.871916 320.800037)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_14\">\n     <g id=\"line2d_46\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 295.948762 \nL 577.19952 295.948762 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_47\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"295.948762\"/>\n      </g>\n     </g>\n     <g id=\"text_35\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(316.571954 299.113511)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_15\">\n     <g id=\"line2d_48\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 274.262236 \nL 577.19952 274.262236 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_49\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"274.262236\"/>\n      </g>\n     </g>\n     <g id=\"text_36\">\n      <!-- 12 -->\n      <g style=\"fill:#333333;\" transform=\"translate(316.571954 277.426985)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_16\">\n     <g id=\"line2d_50\">\n      <path clip-path=\"url(#p164b198596)\" d=\"M 334.171879 252.57571 \nL 577.19952 252.57571 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_51\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"334.171879\" xlink:href=\"#m1f544129e4\" y=\"252.57571\"/>\n      </g>\n     </g>\n     <g id=\"text_37\">\n      <!-- 14 -->\n      <g style=\"fill:#333333;\" transform=\"translate(316.571954 255.740459)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_38\">\n     <!-- count -->\n     <defs>\n      <path d=\"M 52.59375 52.984375 \nL 52.59375 38.71875 \nQ 49.03125 41.15625 45.4375 42.328125 \nQ 41.84375 43.5 37.984375 43.5 \nQ 30.671875 43.5 26.59375 39.234375 \nQ 22.515625 34.96875 22.515625 27.296875 \nQ 22.515625 19.625 26.59375 15.34375 \nQ 30.671875 11.078125 37.984375 11.078125 \nQ 42.09375 11.078125 45.78125 12.296875 \nQ 49.46875 13.53125 52.59375 15.921875 \nL 52.59375 1.609375 \nQ 48.484375 0.09375 44.265625 -0.65625 \nQ 40.046875 -1.421875 35.796875 -1.421875 \nQ 21 -1.421875 12.640625 6.171875 \nQ 4.296875 13.765625 4.296875 27.296875 \nQ 4.296875 40.828125 12.640625 48.40625 \nQ 21 56 35.796875 56 \nQ 40.09375 56 44.265625 55.25 \nQ 48.4375 54.5 52.59375 52.984375 \nz\n\" id=\"DejaVuSans-Bold-99\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(310.492266 334.898508)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-99\"/>\n      <use x=\"59.277344\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"127.978516\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"199.169922\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"270.361328\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_52\">\n    <path clip-path=\"url(#p164b198596)\" d=\"M 345.21859 403.173424 \nL 347.450249 402.939518 \nL 349.681907 402.666032 \nL 351.913566 402.347446 \nL 354.145225 401.977694 \nL 356.376884 401.550153 \nL 358.608543 401.057635 \nL 360.840201 400.49239 \nL 363.07186 399.84612 \nL 365.303519 399.110008 \nL 367.535178 398.274754 \nL 369.766836 397.330632 \nL 371.998495 396.267564 \nL 374.230154 395.075203 \nL 376.461813 393.743045 \nL 378.693472 392.260555 \nL 380.92513 390.617311 \nL 383.156789 388.803164 \nL 385.388448 386.808426 \nL 387.620107 384.624062 \nL 389.851765 382.2419 \nL 392.083424 379.65486 \nL 394.315083 376.857175 \nL 396.546742 373.844635 \nL 398.778401 370.614814 \nL 401.010059 367.167305 \nL 403.241718 363.503935 \nL 405.473377 359.628969 \nL 407.705036 355.549289 \nL 409.936694 351.274548 \nL 412.168353 346.817289 \nL 414.400012 342.193022 \nL 416.631671 337.420258 \nL 418.86333 332.5205 \nL 421.094988 327.518167 \nL 423.326647 322.440482 \nL 425.558306 317.317285 \nL 427.789965 312.180801 \nL 430.021623 307.065349 \nL 432.253282 302.006992 \nL 434.484941 297.043149 \nL 436.7166 292.212151 \nL 438.948259 287.552766 \nL 441.179917 283.103695 \nL 443.411576 278.903042 \nL 445.643235 274.987777 \nL 447.874894 271.393201 \nL 450.106553 268.152415 \nL 452.338211 265.295813 \nL 454.56987 262.850614 \nL 456.801529 260.840424 \nL 459.033188 259.284859 \nL 461.264846 258.199228 \nL 463.496505 257.594281 \nL 465.728164 257.47603 \nL 467.959823 257.845654 \nL 470.191482 258.699473 \nL 472.42314 260.029016 \nL 474.654799 261.821156 \nL 476.886458 264.058327 \nL 479.118117 266.718812 \nL 481.349775 269.777092 \nL 483.581434 273.204255 \nL 485.813093 276.968448 \nL 488.044752 281.035373 \nL 490.276411 285.3688 \nL 492.508069 289.931108 \nL 494.739728 294.683818 \nL 496.971387 299.588131 \nL 499.203046 304.605441 \nL 501.434704 309.697831 \nL 503.666363 314.828529 \nL 505.898022 319.962323 \nL 508.129681 325.065936 \nL 510.36134 330.108339 \nL 512.592998 335.061015 \nL 514.824657 339.898168 \nL 517.056316 344.596871 \nL 519.287975 349.137158 \nL 521.519633 353.502067 \nL 523.751292 357.677625 \nL 525.982951 361.652792 \nL 528.21461 365.419359 \nL 530.446269 368.971815 \nL 532.677927 372.307175 \nL 534.909586 375.424792 \nL 537.141245 378.326141 \nL 539.372904 381.014598 \nL 541.604562 383.495203 \nL 543.836221 385.774431 \nL 546.06788 387.859953 \nL 548.299539 389.760411 \nL 550.531198 391.485205 \nL 552.762856 393.044283 \nL 554.994515 394.447956 \nL 557.226174 395.706724 \nL 559.457833 396.831123 \nL 561.689491 397.83159 \nL 563.92115 398.718346 \nL 566.152809 399.501298 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_39\">\n    <!-- Distribution -->\n    <defs>\n     <path d=\"M 19.671875 64.796875 \nL 19.671875 8.109375 \nL 31.59375 8.109375 \nQ 46.6875 8.109375 53.6875 14.9375 \nQ 60.6875 21.78125 60.6875 36.53125 \nQ 60.6875 51.171875 53.6875 57.984375 \nQ 46.6875 64.796875 31.59375 64.796875 \nz\nM 9.8125 72.90625 \nL 30.078125 72.90625 \nQ 51.265625 72.90625 61.171875 64.09375 \nQ 71.09375 55.28125 71.09375 36.53125 \nQ 71.09375 17.671875 61.125 8.828125 \nQ 51.171875 0 30.078125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-68\"/>\n     <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n     <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n     <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n     <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n     <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n    </defs>\n    <g transform=\"translate(420.683199 227.6)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-68\"/>\n     <use x=\"77.001953\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"104.785156\" xlink:href=\"#DejaVuSans-115\"/>\n     <use x=\"156.884766\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"196.09375\" xlink:href=\"#DejaVuSans-114\"/>\n     <use x=\"237.207031\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"264.990234\" xlink:href=\"#DejaVuSans-98\"/>\n     <use x=\"328.466797\" xlink:href=\"#DejaVuSans-117\"/>\n     <use x=\"391.845703\" xlink:href=\"#DejaVuSans-116\"/>\n     <use x=\"431.054688\" xlink:href=\"#DejaVuSans-105\"/>\n     <use x=\"458.837891\" xlink:href=\"#DejaVuSans-111\"/>\n     <use x=\"520.019531\" xlink:href=\"#DejaVuSans-110\"/>\n    </g>\n   </g>\n  </g>\n  <g id=\"axes_3\">\n   <g id=\"patch_24\">\n    <path d=\"M 48.105708 404.381392 \nL 291.133349 404.381392 \nL 291.133349 233.6 \nL 48.105708 233.6 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"PolyCollection_1\">\n    <defs>\n     <path d=\"M 67.989788 -76.09282 \nL 67.989788 -77.315234 \nL 76.827156 -77.376332 \nL 85.664525 -77.403844 \nL 94.501894 -77.404392 \nL 103.339263 -77.42375 \nL 112.176631 -77.441524 \nL 121.014 -77.470224 \nL 129.851369 -77.499145 \nL 138.688738 -77.512093 \nL 147.526106 -77.512438 \nL 156.363475 -77.514485 \nL 165.200844 -77.520083 \nL 174.038213 -77.546127 \nL 182.875582 -77.572989 \nL 191.71295 -77.584534 \nL 200.550319 -77.586761 \nL 209.387688 -77.592818 \nL 218.225057 -77.599501 \nL 227.062425 -77.620797 \nL 235.899794 -77.649851 \nL 244.737163 -77.669333 \nL 253.574532 -77.672403 \nL 262.4119 -77.67306 \nL 271.249269 -77.693284 \nL 271.249269 -75.714771 \nL 271.249269 -75.714771 \nL 262.4119 -75.734995 \nL 253.574532 -75.735651 \nL 244.737163 -75.738721 \nL 235.899794 -75.758203 \nL 227.062425 -75.787257 \nL 218.225057 -75.808553 \nL 209.387688 -75.815236 \nL 200.550319 -75.821293 \nL 191.71295 -75.82352 \nL 182.875582 -75.835066 \nL 174.038213 -75.861928 \nL 165.200844 -75.887971 \nL 156.363475 -75.893569 \nL 147.526106 -75.895616 \nL 138.688738 -75.895961 \nL 129.851369 -75.908909 \nL 121.014 -75.93783 \nL 112.176631 -75.96653 \nL 103.339263 -75.984304 \nL 94.501894 -76.003662 \nL 85.664525 -76.00421 \nL 76.827156 -76.031722 \nL 67.989788 -76.09282 \nz\n\" id=\"m16888d901a\" style=\"stroke:#003dfd;stroke-opacity:0.25;\"/>\n    </defs>\n    <g clip-path=\"url(#p9b64809130)\">\n     <use style=\"fill:#003dfd;fill-opacity:0.25;stroke:#003dfd;stroke-opacity:0.25;\" x=\"0\" xlink:href=\"#m16888d901a\" y=\"440.39952\"/>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_5\">\n    <g id=\"xtick_49\">\n     <g id=\"line2d_53\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 59.152419 404.381392 \nL 59.152419 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_40\">\n      <!-- 0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(56.502438 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_50\">\n     <g id=\"line2d_54\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 103.339263 404.381392 \nL 103.339263 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_41\">\n      <!-- 5 -->\n      <g style=\"fill:#333333;\" transform=\"translate(100.689281 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_51\">\n     <g id=\"line2d_55\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 147.526106 404.381392 \nL 147.526106 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_42\">\n      <!-- 10 -->\n      <g style=\"fill:#333333;\" transform=\"translate(142.226144 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_52\">\n     <g id=\"line2d_56\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 191.71295 404.381392 \nL 191.71295 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_43\">\n      <!-- 15 -->\n      <g style=\"fill:#333333;\" transform=\"translate(186.412988 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_53\">\n     <g id=\"line2d_57\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 235.899794 404.381392 \nL 235.899794 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_44\">\n      <!-- 20 -->\n      <g style=\"fill:#333333;\" transform=\"translate(230.599832 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_54\">\n     <g id=\"line2d_58\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 280.086638 404.381392 \nL 280.086638 233.6 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_45\">\n      <!-- 25 -->\n      <g style=\"fill:#333333;\" transform=\"translate(274.786675 417.71089)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_46\">\n     <!-- lag -->\n     <defs>\n      <path d=\"M 45.609375 9.28125 \nQ 42 4.5 37.640625 2.25 \nQ 33.296875 0 27.59375 0 \nQ 17.578125 0 11.03125 7.875 \nQ 4.5 15.765625 4.5 27.984375 \nQ 4.5 40.234375 11.03125 48.0625 \nQ 17.578125 55.90625 27.59375 55.90625 \nQ 33.296875 55.90625 37.640625 53.65625 \nQ 42 51.421875 45.609375 46.578125 \nL 45.609375 54.6875 \nL 63.1875 54.6875 \nL 63.1875 5.515625 \nQ 63.1875 -7.671875 54.859375 -14.625 \nQ 46.53125 -21.578125 30.71875 -21.578125 \nQ 25.59375 -21.578125 20.796875 -20.796875 \nQ 16.015625 -20.015625 11.1875 -18.40625 \nL 11.1875 -4.78125 \nQ 15.765625 -7.421875 20.15625 -8.71875 \nQ 24.5625 -10.015625 29 -10.015625 \nQ 37.59375 -10.015625 41.59375 -6.25 \nQ 45.609375 -2.484375 45.609375 5.515625 \nz\nM 34.078125 43.3125 \nQ 28.65625 43.3125 25.625 39.296875 \nQ 22.609375 35.296875 22.609375 27.984375 \nQ 22.609375 20.453125 25.53125 16.578125 \nQ 28.46875 12.703125 34.078125 12.703125 \nQ 39.546875 12.703125 42.578125 16.703125 \nQ 45.609375 20.703125 45.609375 27.984375 \nQ 45.609375 35.296875 42.578125 39.296875 \nQ 39.546875 43.3125 34.078125 43.3125 \nz\n\" id=\"DejaVuSans-Bold-103\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(160.952341 431.041707)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"34.277344\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"101.757812\" xlink:href=\"#DejaVuSans-Bold-103\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_6\">\n    <g id=\"ytick_17\">\n     <g id=\"line2d_59\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 388.162033 \nL 291.133349 388.162033 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_60\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"388.162033\"/>\n      </g>\n     </g>\n     <g id=\"text_47\">\n      <!-- −0.2 -->\n      <defs>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(20.878125 391.326783)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_18\">\n     <g id=\"line2d_61\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 363.695493 \nL 291.133349 363.695493 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_62\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"363.695493\"/>\n      </g>\n     </g>\n     <g id=\"text_48\">\n      <!-- 0.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 366.860242)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_19\">\n     <g id=\"line2d_63\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 339.228952 \nL 291.133349 339.228952 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_64\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"339.228952\"/>\n      </g>\n     </g>\n     <g id=\"text_49\">\n      <!-- 0.2 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 342.393702)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_20\">\n     <g id=\"line2d_65\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 314.762412 \nL 291.133349 314.762412 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_66\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"314.762412\"/>\n      </g>\n     </g>\n     <g id=\"text_50\">\n      <!-- 0.4 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 317.927161)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_21\">\n     <g id=\"line2d_67\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 290.295871 \nL 291.133349 290.295871 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_68\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"290.295871\"/>\n      </g>\n     </g>\n     <g id=\"text_51\">\n      <!-- 0.6 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 293.460621)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_22\">\n     <g id=\"line2d_69\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 265.829331 \nL 291.133349 265.829331 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_70\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"265.829331\"/>\n      </g>\n     </g>\n     <g id=\"text_52\">\n      <!-- 0.8 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 268.99408)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_23\">\n     <g id=\"line2d_71\">\n      <path clip-path=\"url(#p9b64809130)\" d=\"M 48.105708 241.362791 \nL 291.133349 241.362791 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_72\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"48.105708\" xlink:href=\"#m1f544129e4\" y=\"241.362791\"/>\n      </g>\n     </g>\n     <g id=\"text_53\">\n      <!-- 1.0 -->\n      <g style=\"fill:#333333;\" transform=\"translate(27.858405 244.52754)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_54\">\n     <!-- ACF value -->\n     <defs>\n      <path d=\"M 53.421875 13.28125 \nL 24.03125 13.28125 \nL 19.390625 0 \nL 0.484375 0 \nL 27.484375 72.90625 \nL 49.90625 72.90625 \nL 76.90625 0 \nL 58.015625 0 \nz\nM 28.71875 26.8125 \nL 48.6875 26.8125 \nL 38.71875 55.8125 \nz\n\" id=\"DejaVuSans-Bold-65\"/>\n      <path d=\"M 67 4 \nQ 61.8125 1.3125 56.203125 -0.046875 \nQ 50.59375 -1.421875 44.484375 -1.421875 \nQ 26.265625 -1.421875 15.625 8.765625 \nQ 4.984375 18.953125 4.984375 36.375 \nQ 4.984375 53.859375 15.625 64.03125 \nQ 26.265625 74.21875 44.484375 74.21875 \nQ 50.59375 74.21875 56.203125 72.84375 \nQ 61.8125 71.484375 67 68.796875 \nL 67 53.71875 \nQ 61.765625 57.28125 56.6875 58.9375 \nQ 51.609375 60.59375 46 60.59375 \nQ 35.9375 60.59375 30.171875 54.140625 \nQ 24.421875 47.703125 24.421875 36.375 \nQ 24.421875 25.09375 30.171875 18.640625 \nQ 35.9375 12.203125 46 12.203125 \nQ 51.609375 12.203125 56.6875 13.859375 \nQ 61.765625 15.53125 67 19.09375 \nz\n\" id=\"DejaVuSans-Bold-67\"/>\n      <path d=\"M 9.1875 72.90625 \nL 59.90625 72.90625 \nL 59.90625 58.6875 \nL 27.984375 58.6875 \nL 27.984375 45.125 \nL 58.015625 45.125 \nL 58.015625 30.90625 \nL 27.984375 30.90625 \nL 27.984375 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-70\"/>\n      <path id=\"DejaVuSans-Bold-32\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(14.798437 346.984446)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-65\"/>\n      <use x=\"77.392578\" xlink:href=\"#DejaVuSans-Bold-67\"/>\n      <use x=\"150.78125\" xlink:href=\"#DejaVuSans-Bold-70\"/>\n      <use x=\"219.091797\" xlink:href=\"#DejaVuSans-Bold-32\"/>\n      <use x=\"253.90625\" xlink:href=\"#DejaVuSans-Bold-118\"/>\n      <use x=\"319.091797\" xlink:href=\"#DejaVuSans-Bold-97\"/>\n      <use x=\"386.572266\" xlink:href=\"#DejaVuSans-Bold-108\"/>\n      <use x=\"420.849609\" xlink:href=\"#DejaVuSans-Bold-117\"/>\n      <use x=\"492.041016\" xlink:href=\"#DejaVuSans-Bold-101\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_73\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 59.152419 363.695493 \nL 59.152419 241.362791 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_74\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 67.989788 363.695493 \nL 67.989788 324.062902 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_75\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 76.827156 363.695493 \nL 76.827156 336.197749 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_76\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 85.664525 363.695493 \nL 85.664525 367.614034 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_77\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 94.501894 363.695493 \nL 94.501894 387.161126 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_78\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 103.339263 363.695493 \nL 103.339263 386.471929 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_79\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 112.176631 363.695493 \nL 112.176631 393.096729 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_80\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 121.014 363.695493 \nL 121.014 393.769225 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_81\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 129.851369 363.695493 \nL 129.851369 384.085942 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_82\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 138.688738 363.695493 \nL 138.688738 367.039498 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_83\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 147.526106 363.695493 \nL 147.526106 371.841886 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_84\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 156.363475 363.695493 \nL 156.363475 350.190564 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_85\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 165.200844 363.695493 \nL 165.200844 334.284987 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_86\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 174.038213 363.695493 \nL 174.038213 333.353715 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_87\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 182.875582 363.695493 \nL 182.875582 343.581646 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_88\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 191.71295 363.695493 \nL 191.71295 354.825987 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_89\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 200.550319 363.695493 \nL 200.550319 378.355701 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_90\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 209.387688 363.695493 \nL 209.387688 379.149571 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_91\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 218.225057 363.695493 \nL 218.225057 391.498683 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_92\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 227.062425 363.695493 \nL 227.062425 396.618601 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_93\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 235.899794 363.695493 \nL 235.899794 391.004379 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_94\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 244.737163 363.695493 \nL 244.737163 374.599676 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_95\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 253.574532 363.695493 \nL 253.574532 368.743469 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_96\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 262.4119 363.695493 \nL 262.4119 335.530425 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_97\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 271.249269 363.695493 \nL 271.249269 333.175402 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:0.5;\"/>\n   </g>\n   <g id=\"line2d_98\">\n    <path clip-path=\"url(#p9b64809130)\" d=\"M 59.152419 363.695493 \nL 280.086638 363.695493 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"text_55\">\n    <!-- ACF -->\n    <defs>\n     <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n     <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n     <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n    </defs>\n    <g transform=\"translate(157.979528 227.6)scale(0.12 -0.12)\">\n     <use xlink:href=\"#DejaVuSans-65\"/>\n     <use x=\"66.658203\" xlink:href=\"#DejaVuSans-67\"/>\n     <use x=\"136.482422\" xlink:href=\"#DejaVuSans-70\"/>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p6bfc0656ea\">\n   <rect height=\"170.781392\" width=\"529.093812\" x=\"48.105708\" y=\"22.318125\"/>\n  </clipPath>\n  <clipPath id=\"p164b198596\">\n   <rect height=\"170.781392\" width=\"243.027641\" x=\"334.171879\" y=\"233.6\"/>\n  </clipPath>\n  <clipPath id=\"p9b64809130\">\n   <rect height=\"170.781392\" width=\"243.027641\" x=\"48.105708\" y=\"233.6\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plot_residuals_analysis(model_es.residuals(series))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The residual analysis also reflects an improved performance in that we now have a distribution of the residuals centred at value 0, and the ACF values, although not insignificant, have lower magnitudes.\n",
    "\n",
    "## Ensembling several predictions\n",
    "*Ensembling* is about combining the forecasts produced by several models, in order to obtain a final -- and hopefully better forecast.\n",
    "\n",
    "For instance, in our example of a \"less naive\" model above, we manually combined a naive seasonal model with a naive drift model. Here, we will try to find such combinations in an automated way, using `RegressionModel`s. A regression model is a model that predicts a *target* time series from a bunch of *features* time series. If the features time series are themselves obtained from forecasting models, their future (predicted) values can be combined using the regression model to obtain a final forecast.\n",
    "\n",
    "Here, we will first compute the historical predictions two naive seasonal models (with 6 and 12 months seasonality), and naive drift model. To compute the historical forecasts, we can simply reuse the `historical_forecasts()` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=42.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "a66cc1dfb2e34330a4fc005453f6d750"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=42.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "e6adf2676a3e4876a6a7f6a5d10fd838"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=42.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "8ecaa5e4f7c648d38490ac6e5a5e1d87"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "models = [NaiveSeasonal(6), NaiveSeasonal(12), NaiveDrift()]\n",
    "\n",
    "model_predictions = [m.historical_forecasts(series, start=pd.Timestamp('19570101'), forecast_horizon=6, verbose=True)\n",
    "                     for m in models]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have the historical forecasts *that we would have obtained* from a couple of models, we can train a `StandardRegressionModel`, in order to learn in a supervised way how to best combine the features time series (our 3 forecasts) into the target series that we are trying to predict.\n",
    "\n",
    "By default the `StandardRegressionModel` will fit a linear regression for predicting the target series from some features series. If you want something different than linear regression, `StandardRegressionModel` can wrap around any scikit-learn regression model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "HBox(children=(FloatProgress(value=0.0, max=32.0), HTML(value='')))",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "14ed478d84134a67a9855540a85b58a8"
      }
     },
     "metadata": {}
    },
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\" We build the regression model, and tell it to use the 12 preceding points to fit the regression\n",
    "\"\"\"\n",
    "regr_model = StandardRegressionModel(train_n_points=12)\n",
    "\n",
    "\"\"\" Our target series is what we want to predict (the actual data)\n",
    "    It has to have the same time index as the features series:\n",
    "\"\"\"\n",
    "series_target = series.slice_intersect(model_predictions[0])\n",
    "\n",
    "\"\"\" Here we backtest our regression model\n",
    "\"\"\"\n",
    "ensemble_pred = regr_model.historical_forecasts(model_predictions, series_target, start=pd.Timestamp('19580101'), forecast_horizon=3, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's see how good the regression performs, compared to the original forecasts:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "MAPE Error for Naive seasonal model, with K=6: 21.17%\n",
      "MAPE Error for Naive seasonal model, with K=12: 8.25%\n",
      "MAPE Error for Naive drift model: 21.44%\n",
      "MAPE Error ensemble: 5.10%\n",
      "\n",
      "Coefficients of the features time series:\n",
      "Learned coefficient for Naive seasonal model, with K=6: 5.33\n",
      "Learned coefficient for Naive seasonal model, with K=12: 1.06\n",
      "Learned coefficient for Naive drift model: -5.08\n"
     ]
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 576x360 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"314.940003pt\" version=\"1.1\" viewBox=\"0 0 483.699887 314.940003\" width=\"483.699887pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 314.940003 \nL 483.699887 314.940003 \nL 483.699887 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 30.099888 279 \nL 476.499887 279 \nL 476.499887 7.2 \nL 30.099888 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 279 \nL 30.099888 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_1\">\n      <!-- 1949 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n       <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(19.499963 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 105.020167 279 \nL 105.020167 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_2\">\n      <!-- 1951 -->\n      <defs>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(94.420242 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-49\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 179.940447 279 \nL 179.940447 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_3\">\n      <!-- 1953 -->\n      <defs>\n       <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(169.340522 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-51\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 254.860727 279 \nL 254.860727 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_4\">\n      <!-- 1955 -->\n      <g style=\"fill:#333333;\" transform=\"translate(244.260802 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 329.781006 279 \nL 329.781006 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_5\">\n      <!-- 1957 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(319.181081 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-55\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 404.701286 279 \nL 404.701286 7.2 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"text_6\">\n      <!-- 1959 -->\n      <g style=\"fill:#333333;\" transform=\"translate(394.101361 292.329498)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-57\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-57\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\"/>\n    <g id=\"xtick_8\"/>\n    <g id=\"xtick_9\"/>\n    <g id=\"xtick_10\"/>\n    <g id=\"xtick_11\"/>\n    <g id=\"xtick_12\"/>\n    <g id=\"text_7\">\n     <!-- Month -->\n     <defs>\n      <path d=\"M 9.1875 72.90625 \nL 33.109375 72.90625 \nL 49.703125 33.890625 \nL 66.40625 72.90625 \nL 90.28125 72.90625 \nL 90.28125 0 \nL 72.515625 0 \nL 72.515625 53.328125 \nL 55.71875 14.015625 \nL 43.796875 14.015625 \nL 27 53.328125 \nL 27 0 \nL 9.1875 0 \nz\n\" id=\"DejaVuSans-Bold-77\"/>\n      <path d=\"M 34.421875 43.5 \nQ 28.609375 43.5 25.5625 39.328125 \nQ 22.515625 35.15625 22.515625 27.296875 \nQ 22.515625 19.4375 25.5625 15.25 \nQ 28.609375 11.078125 34.421875 11.078125 \nQ 40.140625 11.078125 43.15625 15.25 \nQ 46.1875 19.4375 46.1875 27.296875 \nQ 46.1875 35.15625 43.15625 39.328125 \nQ 40.140625 43.5 34.421875 43.5 \nz\nM 34.421875 56 \nQ 48.53125 56 56.46875 48.375 \nQ 64.40625 40.765625 64.40625 27.296875 \nQ 64.40625 13.8125 56.46875 6.1875 \nQ 48.53125 -1.421875 34.421875 -1.421875 \nQ 20.265625 -1.421875 12.28125 6.1875 \nQ 4.296875 13.8125 4.296875 27.296875 \nQ 4.296875 40.765625 12.28125 48.375 \nQ 20.265625 56 34.421875 56 \nz\n\" id=\"DejaVuSans-Bold-111\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.484375 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 54.6875 \nL 25.875 54.6875 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-110\"/>\n      <path d=\"M 27.484375 70.21875 \nL 27.484375 54.6875 \nL 45.515625 54.6875 \nL 45.515625 42.1875 \nL 27.484375 42.1875 \nL 27.484375 19 \nQ 27.484375 15.1875 29 13.84375 \nQ 30.515625 12.5 35.015625 12.5 \nL 44 12.5 \nL 44 0 \nL 29 0 \nQ 18.65625 0 14.328125 4.3125 \nQ 10.015625 8.640625 10.015625 19 \nL 10.015625 42.1875 \nL 1.3125 42.1875 \nL 1.3125 54.6875 \nL 10.015625 54.6875 \nL 10.015625 70.21875 \nz\n\" id=\"DejaVuSans-Bold-116\"/>\n      <path d=\"M 63.375 33.296875 \nL 63.375 0 \nL 45.796875 0 \nL 45.796875 5.421875 \nL 45.796875 25.390625 \nQ 45.796875 32.5625 45.484375 35.25 \nQ 45.171875 37.9375 44.390625 39.203125 \nQ 43.359375 40.921875 41.59375 41.875 \nQ 39.84375 42.828125 37.59375 42.828125 \nQ 32.125 42.828125 29 38.59375 \nQ 25.875 34.375 25.875 26.90625 \nL 25.875 0 \nL 8.40625 0 \nL 8.40625 75.984375 \nL 25.875 75.984375 \nL 25.875 46.6875 \nQ 29.828125 51.46875 34.265625 53.734375 \nQ 38.71875 56 44.09375 56 \nQ 53.5625 56 58.46875 50.1875 \nQ 63.375 44.390625 63.375 33.296875 \nz\n\" id=\"DejaVuSans-Bold-104\"/>\n     </defs>\n     <g style=\"fill:#333333;\" transform=\"translate(235.380356 305.660316)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-Bold-77\"/>\n      <use x=\"99.511719\" xlink:href=\"#DejaVuSans-Bold-111\"/>\n      <use x=\"168.212891\" xlink:href=\"#DejaVuSans-Bold-110\"/>\n      <use x=\"239.404297\" xlink:href=\"#DejaVuSans-Bold-116\"/>\n      <use x=\"287.207031\" xlink:href=\"#DejaVuSans-Bold-104\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 268.553492 \nL 476.499887 268.553492 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <defs>\n       <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m3c572e655d\" style=\"stroke:#333333;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"268.553492\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 271.718242)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 220.852545 \nL 476.499887 220.852545 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"220.852545\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 224.017294)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 173.151597 \nL 476.499887 173.151597 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"173.151597\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 300 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 176.316346)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-51\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 125.450649 \nL 476.499887 125.450649 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"125.450649\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 400 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 128.615399)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 77.749702 \nL 476.499887 77.749702 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"77.749702\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 500 -->\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 80.914451)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 30.048754 \nL 476.499887 30.048754 \n\" style=\"fill:none;stroke:#dedede;stroke-linecap:square;stroke-width:0.8;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <g>\n       <use style=\"fill:#333333;stroke:#333333;stroke-width:0.8;\" x=\"30.099888\" xlink:href=\"#m3c572e655d\" y=\"30.048754\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 600 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g style=\"fill:#333333;\" transform=\"translate(7.2 33.213503)scale(0.0833 -0.0833)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_19\">\n    <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 30.099888 262.829379 \nL 33.221566 259.967322 \nL 36.343244 253.289189 \nL 39.464922 254.720218 \nL 42.586601 258.536293 \nL 45.708279 251.858161 \nL 48.829957 245.657038 \nL 51.951636 245.657038 \nL 55.073314 251.381151 \nL 58.194992 259.490312 \nL 61.316671 266.645455 \nL 64.438349 259.967322 \nL 67.560027 261.39835 \nL 70.681706 256.151246 \nL 73.803384 248.996104 \nL 76.925062 251.858161 \nL 80.046741 256.628256 \nL 83.168419 245.180028 \nL 86.290097 235.162829 \nL 89.411776 235.162829 \nL 92.533454 240.886943 \nL 95.655132 252.81218 \nL 98.776811 261.87536 \nL 101.898489 249.473113 \nL 108.141846 244.703019 \nL 111.263524 231.346753 \nL 114.385202 238.501895 \nL 117.506881 234.20881 \nL 120.628559 231.346753 \nL 123.750237 221.329554 \nL 126.871915 221.329554 \nL 129.993594 228.484696 \nL 133.115272 238.978905 \nL 136.23695 246.611057 \nL 139.358629 237.070867 \nL 142.480307 234.68582 \nL 145.601985 230.392734 \nL 148.723664 224.191611 \nL 151.845342 229.915725 \nL 154.96702 228.961706 \nL 158.088699 212.266374 \nL 164.332055 200.818147 \nL 167.453734 216.559459 \nL 170.575412 225.14563 \nL 173.69709 234.20881 \nL 176.818769 223.714602 \nL 179.940447 222.760583 \nL 183.062125 222.760583 \nL 186.183804 203.680204 \nL 189.305482 204.157213 \nL 192.42716 207.01927 \nL 195.548839 200.341137 \nL 198.670517 190.323938 \nL 201.792195 186.507862 \nL 204.913874 203.203194 \nL 208.035552 215.605441 \nL 211.15723 230.392734 \nL 214.278908 220.375535 \nL 217.400587 218.944507 \nL 220.522265 226.576658 \nL 223.643943 204.157213 \nL 226.765622 207.973289 \nL 229.8873 204.634223 \nL 233.008978 190.323938 \nL 236.130657 172.197578 \nL 239.252335 176.490663 \nL 242.374013 192.708986 \nL 245.495692 207.01927 \nL 248.61737 219.421516 \nL 251.739048 207.01927 \nL 254.860727 200.818147 \nL 257.982405 205.111232 \nL 261.104083 188.89291 \nL 264.225762 187.938891 \nL 267.34744 187.461881 \nL 270.469118 165.996455 \nL 273.590797 142.622991 \nL 276.712475 150.732152 \nL 279.834153 167.427483 \nL 286.07751 203.203194 \nL 289.199188 183.645806 \nL 292.320867 180.783749 \nL 295.442545 184.122815 \nL 298.564223 165.042436 \nL 301.685901 166.950474 \nL 304.80758 164.565426 \nL 307.929258 137.852896 \nL 311.050936 119.249526 \nL 314.172615 123.065602 \nL 320.415971 170.28954 \nL 323.53765 186.984872 \nL 326.659328 170.28954 \nL 329.781006 165.996455 \nL 332.902685 172.674588 \nL 336.024363 146.439066 \nL 339.146041 150.255142 \nL 342.26772 146.916076 \nL 345.389398 114.956441 \nL 348.511076 94.445033 \nL 351.632755 93.491014 \nL 354.754433 123.542611 \nL 357.876111 150.732152 \nL 360.99779 170.76655 \nL 364.119468 155.979256 \nL 367.241146 154.071218 \nL 370.362825 164.565426 \nL 373.484503 143.577009 \nL 376.606181 150.255142 \nL 379.72786 143.1 \nL 382.849538 108.755318 \nL 385.971216 82.042787 \nL 389.092894 75.364654 \nL 392.214573 123.542611 \nL 395.336251 145.008038 \nL 398.457929 168.381502 \nL 401.579608 155.502246 \nL 404.701286 144.531028 \nL 407.822964 153.117199 \nL 410.944643 122.588592 \nL 414.066321 127.358687 \nL 417.187999 115.91046 \nL 420.309678 91.105967 \nL 423.431356 54.853247 \nL 426.553034 49.606143 \nL 429.674713 95.399052 \nL 432.796391 122.111583 \nL 435.918069 143.577009 \nL 439.039748 123.065602 \nL 442.161426 117.341488 \nL 445.283104 129.743735 \nL 448.404783 116.387469 \nL 451.526461 96.353071 \nL 454.648139 91.105967 \nL 457.769818 61.05437 \nL 460.891496 19.554545 \nL 464.013174 27.186697 \nL 467.134853 73.933626 \nL 470.256531 96.353071 \nL 473.378209 130.220744 \nL 476.499888 110.186346 \nL 476.499888 110.186346 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_20\">\n    <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 345.389398 170.28954 \nL 348.511076 165.996455 \nL 351.632755 172.674588 \nL 354.754433 146.439066 \nL 357.876111 150.255142 \nL 360.99779 146.916076 \nL 364.119468 114.956441 \nL 367.241146 94.445033 \nL 370.362825 93.491014 \nL 373.484503 123.542611 \nL 376.606181 150.732152 \nL 379.72786 170.76655 \nL 382.849538 155.979256 \nL 385.971216 154.071218 \nL 389.092894 164.565426 \nL 392.214573 143.577009 \nL 395.336251 150.255142 \nL 398.457929 143.1 \nL 401.579608 108.755318 \nL 404.701286 82.042787 \nL 407.822964 75.364654 \nL 410.944643 123.542611 \nL 414.066321 145.008038 \nL 417.187999 168.381502 \nL 420.309678 155.502246 \nL 423.431356 144.531028 \nL 426.553034 153.117199 \nL 429.674713 122.588592 \nL 432.796391 127.358687 \nL 435.918069 115.91046 \nL 439.039748 91.105967 \nL 442.161426 54.853247 \nL 445.283104 49.606143 \nL 448.404783 95.399052 \nL 451.526461 122.111583 \nL 454.648139 143.577009 \nL 457.769818 123.065602 \nL 460.891496 117.341488 \nL 464.013174 129.743735 \nL 467.134853 116.387469 \nL 470.256531 96.353071 \nL 473.378209 91.105967 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_21\">\n    <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 345.389398 137.852896 \nL 348.511076 119.249526 \nL 351.632755 123.065602 \nL 354.754433 146.916076 \nL 357.876111 170.28954 \nL 360.99779 186.984872 \nL 364.119468 170.28954 \nL 367.241146 165.996455 \nL 370.362825 172.674588 \nL 373.484503 146.439066 \nL 376.606181 150.255142 \nL 379.72786 146.916076 \nL 382.849538 114.956441 \nL 385.971216 94.445033 \nL 389.092894 93.491014 \nL 392.214573 123.542611 \nL 395.336251 150.732152 \nL 398.457929 170.76655 \nL 401.579608 155.979256 \nL 404.701286 154.071218 \nL 407.822964 164.565426 \nL 410.944643 143.577009 \nL 414.066321 150.255142 \nL 417.187999 143.1 \nL 420.309678 108.755318 \nL 423.431356 82.042787 \nL 426.553034 75.364654 \nL 429.674713 123.542611 \nL 432.796391 145.008038 \nL 435.918069 168.381502 \nL 439.039748 155.502246 \nL 442.161426 144.531028 \nL 445.283104 153.117199 \nL 448.404783 122.588592 \nL 451.526461 127.358687 \nL 454.648139 115.91046 \nL 457.769818 91.105967 \nL 460.891496 54.853247 \nL 464.013174 49.606143 \nL 467.134853 95.399052 \nL 470.256531 122.111583 \nL 473.378209 143.577009 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_22\">\n    <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 345.389398 164.444919 \nL 348.511076 159.944397 \nL 351.632755 167.098003 \nL 354.754433 139.313129 \nL 357.876111 143.432461 \nL 360.99779 139.961278 \nL 364.119468 106.17191 \nL 367.241146 84.540072 \nL 370.362825 83.626644 \nL 373.484503 115.506836 \nL 376.606181 144.326596 \nL 379.72786 165.555446 \nL 382.849538 149.98766 \nL 385.971216 148.029098 \nL 389.092894 159.156402 \nL 392.214573 137.072335 \nL 395.336251 144.170048 \nL 398.457929 136.685926 \nL 401.579608 100.574394 \nL 404.701286 72.527703 \nL 407.822964 65.583886 \nL 410.944643 116.338123 \nL 414.066321 138.965918 \nL 417.187999 163.579068 \nL 420.309678 150.090794 \nL 423.431356 138.616111 \nL 426.553034 147.676926 \nL 429.674713 115.691505 \nL 432.796391 120.750361 \nL 435.918069 108.80148 \nL 439.039748 82.863243 \nL 442.161426 44.949621 \nL 445.283104 39.532604 \nL 448.404783 87.550756 \nL 451.526461 115.566569 \nL 454.648139 138.073054 \nL 457.769818 116.664208 \nL 460.891496 110.728402 \nL 464.013174 123.739871 \nL 467.134853 109.830369 \nL 470.256531 88.954124 \nL 473.378209 83.529934 \n\" style=\"fill:none;stroke:#11a9ba;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"line2d_23\">\n    <path clip-path=\"url(#p7e3fca58d6)\" d=\"M 373.484503 125.200712 \nL 376.606181 124.821709 \nL 379.72786 116.758511 \nL 382.849538 87.183248 \nL 385.971216 70.05364 \nL 389.092894 72.020622 \nL 392.214573 114.311526 \nL 395.336251 151.714555 \nL 398.457929 172.016406 \nL 401.579608 152.351736 \nL 404.701286 149.459846 \nL 407.822964 164.155898 \nL 410.944643 142.513982 \nL 414.066321 147.917914 \nL 417.187999 138.102467 \nL 420.309678 99.010458 \nL 423.431356 67.351896 \nL 426.553034 55.176728 \nL 429.674713 104.580174 \nL 432.796391 123.145877 \nL 435.918069 144.451439 \nL 439.039748 135.608326 \nL 442.161426 126.139204 \nL 445.283104 130.258868 \nL 448.404783 93.219188 \nL 451.526461 96.2215 \nL 454.648139 86.192423 \nL 457.769818 64.111708 \nL 460.891496 25.182187 \nL 464.013174 21.172831 \nL 467.134853 66.623069 \nL 470.256531 93.452106 \n\" style=\"fill:none;stroke:#0d780f;stroke-linecap:square;stroke-width:1.3;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"line2d_24\">\n     <path d=\"M 39.099888 20.298437 \nL 59.099888 20.298437 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_25\"/>\n    <g id=\"text_14\">\n     <!-- actual -->\n     <defs>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n     </defs>\n     <g transform=\"translate(67.099887 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"116.259766\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"155.46875\" xlink:href=\"#DejaVuSans-117\"/>\n      <use x=\"218.847656\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"280.126953\" xlink:href=\"#DejaVuSans-108\"/>\n     </g>\n    </g>\n    <g id=\"line2d_26\">\n     <path d=\"M 39.099888 34.976562 \nL 59.099888 34.976562 \n\" style=\"fill:none;stroke:#003dfd;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_27\"/>\n    <g id=\"text_15\">\n     <!-- Naive seasonal model, with K=6 -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 23.09375 72.90625 \nL 55.421875 11.921875 \nL 55.421875 72.90625 \nL 64.984375 72.90625 \nL 64.984375 0 \nL 51.703125 0 \nL 19.390625 60.984375 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-78\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 11.71875 12.40625 \nL 22.015625 12.40625 \nL 22.015625 4 \nL 14.015625 -11.625 \nL 7.71875 -11.625 \nL 11.71875 4 \nz\n\" id=\"DejaVuSans-44\"/>\n      <path d=\"M 4.203125 54.6875 \nL 13.1875 54.6875 \nL 24.421875 12.015625 \nL 35.59375 54.6875 \nL 46.1875 54.6875 \nL 57.421875 12.015625 \nL 68.609375 54.6875 \nL 77.59375 54.6875 \nL 63.28125 0 \nL 52.6875 0 \nL 40.921875 44.828125 \nL 29.109375 0 \nL 18.5 0 \nz\n\" id=\"DejaVuSans-119\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-104\"/>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 42.09375 \nL 52.390625 72.90625 \nL 65.09375 72.90625 \nL 28.90625 38.921875 \nL 67.671875 0 \nL 54.6875 0 \nL 19.671875 35.109375 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-75\"/>\n      <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n     </defs>\n     <g transform=\"translate(67.099887 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-78\"/>\n      <use x=\"74.804688\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"136.083984\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"163.867188\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"223.046875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"284.570312\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"316.357422\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"368.457031\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"429.980469\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"491.259766\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"543.359375\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"604.541016\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"667.919922\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"729.199219\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"756.982422\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"788.769531\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"886.181641\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"947.363281\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"1010.839844\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1072.363281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"1100.146484\" xlink:href=\"#DejaVuSans-44\"/>\n      <use x=\"1131.933594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1163.720703\" xlink:href=\"#DejaVuSans-119\"/>\n      <use x=\"1245.507812\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1273.291016\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1312.5\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"1375.878906\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1407.666016\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"1473.242188\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"1557.03125\" xlink:href=\"#DejaVuSans-54\"/>\n     </g>\n    </g>\n    <g id=\"line2d_28\">\n     <path d=\"M 39.099888 49.654687 \nL 59.099888 49.654687 \n\" style=\"fill:none;stroke:#b512b8;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_29\"/>\n    <g id=\"text_16\">\n     <!-- Naive seasonal model, with K=12 -->\n     <g transform=\"translate(67.099887 53.154687)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-78\"/>\n      <use x=\"74.804688\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"136.083984\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"163.867188\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"223.046875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"284.570312\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"316.357422\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"368.457031\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"429.980469\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"491.259766\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"543.359375\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"604.541016\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"667.919922\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"729.199219\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"756.982422\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"788.769531\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"886.181641\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"947.363281\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"1010.839844\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"1072.363281\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"1100.146484\" xlink:href=\"#DejaVuSans-44\"/>\n      <use x=\"1131.933594\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1163.720703\" xlink:href=\"#DejaVuSans-119\"/>\n      <use x=\"1245.507812\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"1273.291016\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"1312.5\" xlink:href=\"#DejaVuSans-104\"/>\n      <use x=\"1375.878906\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"1407.666016\" xlink:href=\"#DejaVuSans-75\"/>\n      <use x=\"1473.242188\" xlink:href=\"#DejaVuSans-61\"/>\n      <use x=\"1557.03125\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"1620.654297\" xlink:href=\"#DejaVuSans-50\"/>\n     </g>\n    </g>\n    <g id=\"line2d_30\">\n     <path d=\"M 39.099888 64.332812 \nL 59.099888 64.332812 \n\" style=\"fill:none;stroke:#11a9ba;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_31\"/>\n    <g id=\"text_17\">\n     <!-- Naive drift model -->\n     <defs>\n      <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     </defs>\n     <g transform=\"translate(67.099887 67.832812)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-78\"/>\n      <use x=\"74.804688\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"136.083984\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"163.867188\" xlink:href=\"#DejaVuSans-118\"/>\n      <use x=\"223.046875\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"284.570312\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"316.357422\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"379.833984\" xlink:href=\"#DejaVuSans-114\"/>\n      <use x=\"420.947266\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"448.730469\" xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"482.185547\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"521.394531\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"553.181641\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"650.59375\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"711.775391\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"775.251953\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"836.775391\" xlink:href=\"#DejaVuSans-108\"/>\n     </g>\n    </g>\n    <g id=\"line2d_32\">\n     <path d=\"M 39.099888 79.010937 \nL 59.099888 79.010937 \n\" style=\"fill:none;stroke:#0d780f;stroke-linecap:square;stroke-width:1.3;\"/>\n    </g>\n    <g id=\"line2d_33\"/>\n    <g id=\"text_18\">\n     <!-- Ensemble -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 55.90625 72.90625 \nL 55.90625 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.015625 \nL 54.390625 43.015625 \nL 54.390625 34.71875 \nL 19.671875 34.71875 \nL 19.671875 8.296875 \nL 56.78125 8.296875 \nL 56.78125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-69\"/>\n      <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n     </defs>\n     <g transform=\"translate(67.099887 82.510937)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-69\"/>\n      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"126.5625\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"178.662109\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"240.185547\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"337.597656\" xlink:href=\"#DejaVuSans-98\"/>\n      <use x=\"401.074219\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"428.857422\" xlink:href=\"#DejaVuSans-101\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p7e3fca58d6\">\n   <rect height=\"271.8\" width=\"446.4\" x=\"30.099888\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "plt.figure(figsize=(8,5))\n",
    "\n",
    "series.plot(label='actual')\n",
    "for i, m in enumerate(models):\n",
    "    model_predictions[i].plot(label=str(m))\n",
    "    \n",
    "    # intersect last part, to compare all the methods over the duration of the ensemble forecast\n",
    "    model_pred = model_predictions[i].slice_intersect(ensemble_pred)\n",
    "       \n",
    "    mape_model = mape(series, model_pred)\n",
    "    print('MAPE Error for {}: {:.2f}%'.format(m, mape_model))\n",
    "\n",
    "print('MAPE Error ensemble: {:.2f}%'.format(mape(series, ensemble_pred)))\n",
    "\n",
    "ensemble_pred.plot(label='Ensemble')\n",
    "\n",
    "print('\\nCoefficients of the features time series:')\n",
    "for i, m in enumerate(models):\n",
    "    print('Learned coefficient for {}: {:.2f}'.format(m, regr_model.model.coef_[0][i]))\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's quite nice: by just combining 3 naive models (two seasonal repetitions and a linear trend) using a linear regression, we get a decent-looking ensemble model, which is better than any of the sub-model, with a MAPE of 5.30%.\n",
    "\n",
    "A couple of interesting things to observe:\n",
    "* Note how the seasonal model for `K=6` and the naive drift model have an incorrect phase compared to the original signal (due to the original signal having a true seasonality of 12). Despite this, the ensembling is able to learn coefficients that compensate for this effect. Removing either of the two models results in worse performance.\n",
    "* Note how the regression (ensemble) forecast starts off 12 months after the individual models forecasts -- that is because the regression model needs 12 data points to fit the weights coefficients of the linear regression."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## FFT and RNNs\n",
    "If you'd like to try models based on Fast Fourier Transform or Recurrent Neural Networks, we recommend that you go over the `FFT-examples.ipynb` and `RNN-examples.ipynb` notebooks, respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A final word of caution\n",
    "So is Theta, exponential smoothing, or a linear regression of naive models the best approach for predicting the future number of airline passengers? Well, at this point it's still hard to say exactly which one is best. Our time series is small, and our validation set is even smaller. In such cases, it's very easy to overfit the whole forecasting exercise to such a small validation set. That's especially true if the number of available models and their degrees of freedom is high; so always take results with a grain of salt (especially on small datasets), and apply the scientific method before making any kind of forecast!"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3-final"
  },
  "pycharm": {
   "stem_cell": {
    "cell_type": "raw",
    "metadata": {
     "collapsed": false
    },
    "source": []
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}